
<PAGE>   1
                                                                    EXHIBIT 99.7


                      CONSENT OF PERSON TO BECOME DIRECTOR

     Pursuant to Rule 438 of the Securities Act of 1933, as amended, the
undersigned hereby consents to being named in the Joint Proxy
Statement/Prospectus forming a part of this Registration Statement on
Form S-4 as a person to become a director of Baker Hughes Incorporated upon
consummation of the merger of Baker Hughes Delaware I, Inc. with and into
Western Atlas Inc.


                                                    /s/ ALTON J. BRANN
                                                    --------------------------
                                                    Alton J. Brann

June 30, 1998
<PAGE>   2
                                                                   


                      CONSENT OF PERSON TO BECOME DIRECTOR

     Pursuant to Rule 438 of the Securities Act of 1933, as amended, the
undersigned hereby consents to being named in the Joint Proxy
Statement/Prospectus forming a part of this Registration Statement on
Form S-4 as a person to become a director of Baker Hughes Incorporated upon
consummation of the merger of Baker Hughes Delaware I, Inc. with and into
Western Atlas Inc.



                                                    /s/ JOHN R. RUSSELL
                                                    --------------------------
                                                    John R. Russell

June 30, 1998                                                    

<PAGE>   3
                                                                   


                      CONSENT OF PERSON TO BECOME DIRECTOR

     Pursuant to Rule 438 of the Securities Act of 1933, as amended, the
undersigned hereby consents to being named in the Joint Proxy
Statement/Prospectus forming a part of this Registration Statement on
Form S-4 as a person to become a director of Baker Hughes Incorporated upon
consummation of the merger of Baker Hughes Delaware I, Inc. with and into
Western Atlas Inc.



                                                    /s/ JOSEPH T. CASEY
                                                    --------------------------
                                                    Joseph T. Casey   

June 30, 1998
<PAGE>   4
                                                                   


                      CONSENT OF PERSON TO BECOME DIRECTOR

     Pursuant to Rule 438 of the Securities Act of 1933, as amended, the
undersigned hereby consents to being named in the Joint Proxy
Statement/Prospectus forming a part of this Registration Statement on
Form S-4 as a person to become a director of Baker Hughes Incorporated upon
consummation of the merger of Baker Hughes Delaware I, Inc. with and into
Western Atlas Inc.



                                                    /s/ CLAIRE W. GARGALLI
                                                    --------------------------
                                                    Claire W. Gargalli

June 30, 1998
