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Finding the Fourth Proportional to 666.50, 1,002.17 and 613.04

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Solution

The fourth proportional to 666.50, 1,002.17 and 613.04 is: 921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.50 : 1,002.17 = 613.04 : x
  2. Step 2: Convert to fraction form
    666.50/1,002.17 = 613.04/x
  3. Step 3: Cross multiply
    666.50x = 1,002.17 × 613.04
  4. Step 4: Simplify right side
    666.50x = 614,366.82
  5. Step 5: Solve for x
    x = 614,366.82/666.50
  6. Step 6: Final answer
    x = 921.79

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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.