How can i make a circuit such that output voltage is reduced by golden ratio, using feedback
While you can't get a truly exact result, the circuit below will give you an approximate result. You could use a trimmer potentiometer to set the value closer, or you could play games with parallel combinations of resistors.







simulate this circuit &ndash; Schematic created using CircuitLab

Note that this assumes you want to do what you said in the text, not what you wrote in the title of the question.