Final answer:
The diagnostic study that should be ordered for a male patient presenting with symptoms of prostatitis including fever, low back pain, and urinary frequency is a urine culture.
Step-by-step explanation:
The diagnostic study that should be ordered for a male patient presenting with symptoms of prostatitis including fever, low back pain, and urinary frequency is a urine culture. A urine culture can help identify the presence of bacteria in the urinary tract and determine the appropriate antibiotic treatment. While urinalysis, prostate-specific antigen (PSA) test, and transrectal ultrasound (TRUS) can provide additional information, a urine culture is typically the most important diagnostic study to confirm a diagnosis of prostatitis.