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Finding the Fourth Proportional to 528.38, 724.61 and 522.31

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Solution

The fourth proportional to 528.38, 724.61 and 522.31 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 724.61 = 522.31 : x
  2. Step 2: Convert to fraction form
    528.38/724.61 = 522.31/x
  3. Step 3: Cross multiply
    528.38x = 724.61 × 522.31
  4. Step 4: Simplify right side
    528.38x = 378,470.54
  5. Step 5: Solve for x
    x = 378,470.54/528.38
  6. Step 6: Final answer
    x = 716.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.