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Finding the Fourth Proportional to 574.60, 791.22 and 470.92

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Solution

The fourth proportional to 574.60, 791.22 and 470.92 is: 648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.60 : 791.22 = 470.92 : x
  2. Step 2: Convert to fraction form
    574.60/791.22 = 470.92/x
  3. Step 3: Cross multiply
    574.60x = 791.22 × 470.92
  4. Step 4: Simplify right side
    574.60x = 372,601.32
  5. Step 5: Solve for x
    x = 372,601.32/574.60
  6. Step 6: Final answer
    x = 648.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.