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Finding the Fourth Proportional to 724.66, 999.28 and 567.02

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Solution

The fourth proportional to 724.66, 999.28 and 567.02 is: 781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.66 : 999.28 = 567.02 : x
  2. Step 2: Convert to fraction form
    724.66/999.28 = 567.02/x
  3. Step 3: Cross multiply
    724.66x = 999.28 × 567.02
  4. Step 4: Simplify right side
    724.66x = 566,611.75
  5. Step 5: Solve for x
    x = 566,611.75/724.66
  6. Step 6: Final answer
    x = 781.90

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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.