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Finding the Fourth Proportional to 666.04, 1,002.93 and 493.93

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Solution

The fourth proportional to 666.04, 1,002.93 and 493.93 is: 743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.04 : 1,002.93 = 493.93 : x
  2. Step 2: Convert to fraction form
    666.04/1,002.93 = 493.93/x
  3. Step 3: Cross multiply
    666.04x = 1,002.93 × 493.93
  4. Step 4: Simplify right side
    666.04x = 495,372.24
  5. Step 5: Solve for x
    x = 495,372.24/666.04
  6. Step 6: Final answer
    x = 743.76

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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.