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Finding the Fourth Proportional to 724.62, 1,086.30 and 519.42

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Solution

The fourth proportional to 724.62, 1,086.30 and 519.42 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.62 : 1,086.30 = 519.42 : x
  2. Step 2: Convert to fraction form
    724.62/1,086.30 = 519.42/x
  3. Step 3: Cross multiply
    724.62x = 1,086.30 × 519.42
  4. Step 4: Simplify right side
    724.62x = 564,245.95
  5. Step 5: Solve for x
    x = 564,245.95/724.62
  6. Step 6: Final answer
    x = 778.68

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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.