[ksinc]

Which, if any, of these ties would be acceptable for an interview? I will be wearing a solid NAVY suit, white dress shirt, and black shoes/belt.

Any of the first three would be acceptable for an interview. Pick the one that brightens your face the most (probably 1 or 3.)

 

[ksinc]

Some people think a rule is only wear black with navy; some others think a rule is never wear black with navy. Both are wrong, but it's hard to predict what the interviewer will think. This is one reason why charcoal is better for an interview than navy IMHO.

As you are wearing navy anyway, go with either of the striped ties that make you look better based on your coloring. Only tie #4 is bordering on not "acceptable" for an interview. I would prefer to say "not advisable."