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Finding the Fourth Proportional to 529.20, 732.24 and 460.35

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Solution

The fourth proportional to 529.20, 732.24 and 460.35 is: 636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 732.24 = 460.35 : x
  2. Step 2: Convert to fraction form
    529.20/732.24 = 460.35/x
  3. Step 3: Cross multiply
    529.20x = 732.24 × 460.35
  4. Step 4: Simplify right side
    529.20x = 337,086.68
  5. Step 5: Solve for x
    x = 337,086.68/529.20
  6. Step 6: Final answer
    x = 636.97

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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.