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Finding the Fourth Proportional to 666.74, 1,002 and 392.96

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Solution

The fourth proportional to 666.74, 1,002 and 392.96 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 1,002 = 392.96 : x
  2. Step 2: Convert to fraction form
    666.74/1,002 = 392.96/x
  3. Step 3: Cross multiply
    666.74x = 1,002 × 392.96
  4. Step 4: Simplify right side
    666.74x = 393,745.92
  5. Step 5: Solve for x
    x = 393,745.92/666.74
  6. Step 6: Final answer
    x = 590.55

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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.