Why do we view these metals as valuable?

The most understandable reason, obviously is utility. Certain properties of these metals can accomplish what nothing else can, or at least, at a far less cost.

However, that doesn’t seem to relate to the value of most of the precious metals.

 

(Note: I’d add copper) The value of these metals appears totally unrelated to any utility they have. Their utility as money (rare, stable units) may play a part today.

911 Metallurgist gives a good rundown of why people would want these metals for specific business /  use purposes. And while that’s understandable, it doesn’t account for the massive price of the metals beyond what they can accomplish economically.

That’s my main point: these metals are valued at a price point far beyond their utility. So what makes them valuable?

The history of civilization does provide a massive clue: they have been used as currency for millennia. But the question regarding fiat currencies still applies: if no one values them, do they have any value?

Please feel free to show me I’m wrong.