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Finding the Fourth Proportional to 724.17, 1,086.26 and 508.71

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Solution

The fourth proportional to 724.17, 1,086.26 and 508.71 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 1,086.26 = 508.71 : x
  2. Step 2: Convert to fraction form
    724.17/1,086.26 = 508.71/x
  3. Step 3: Cross multiply
    724.17x = 1,086.26 × 508.71
  4. Step 4: Simplify right side
    724.17x = 552,588.78
  5. Step 5: Solve for x
    x = 552,588.78/724.17
  6. Step 6: Final answer
    x = 763.07

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Why These Related Problems?

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