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Finding the Fourth Proportional to 724.37, 1,086.56 and 508.91

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Solution

The fourth proportional to 724.37, 1,086.56 and 508.91 is: 763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.37 : 1,086.56 = 508.91 : x
  2. Step 2: Convert to fraction form
    724.37/1,086.56 = 508.91/x
  3. Step 3: Cross multiply
    724.37x = 1,086.56 × 508.91
  4. Step 4: Simplify right side
    724.37x = 552,965.24
  5. Step 5: Solve for x
    x = 552,965.24/724.37
  6. Step 6: Final answer
    x = 763.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.