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Finding the Fourth Proportional to 724.52, 1,086.04 and 358.80

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Solution

The fourth proportional to 724.52, 1,086.04 and 358.80 is: 537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.52 : 1,086.04 = 358.80 : x
  2. Step 2: Convert to fraction form
    724.52/1,086.04 = 358.80/x
  3. Step 3: Cross multiply
    724.52x = 1,086.04 × 358.80
  4. Step 4: Simplify right side
    724.52x = 389,671.15
  5. Step 5: Solve for x
    x = 389,671.15/724.52
  6. Step 6: Final answer
    x = 537.83

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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.