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Finding the Fourth Proportional to 672.02, 927.17 and 406.55

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Solution

The fourth proportional to 672.02, 927.17 and 406.55 is: 560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.02 : 927.17 = 406.55 : x
  2. Step 2: Convert to fraction form
    672.02/927.17 = 406.55/x
  3. Step 3: Cross multiply
    672.02x = 927.17 × 406.55
  4. Step 4: Simplify right side
    672.02x = 376,934.29
  5. Step 5: Solve for x
    x = 376,934.29/672.02
  6. Step 6: Final answer
    x = 560.90

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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.