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Finding the Fourth Proportional to 666.02, 1,002.92 and 493.90

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Solution

The fourth proportional to 666.02, 1,002.92 and 493.90 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.02 : 1,002.92 = 493.90 : x
  2. Step 2: Convert to fraction form
    666.02/1,002.92 = 493.90/x
  3. Step 3: Cross multiply
    666.02x = 1,002.92 × 493.90
  4. Step 4: Simplify right side
    666.02x = 495,337.21
  5. Step 5: Solve for x
    x = 495,337.21/666.02
  6. Step 6: Final answer
    x = 743.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.