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Finding the Fourth Proportional to 672.12, 927.41 and 406.49

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Solution

The fourth proportional to 672.12, 927.41 and 406.49 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.12 : 927.41 = 406.49 : x
  2. Step 2: Convert to fraction form
    672.12/927.41 = 406.49/x
  3. Step 3: Cross multiply
    672.12x = 927.41 × 406.49
  4. Step 4: Simplify right side
    672.12x = 376,976.22
  5. Step 5: Solve for x
    x = 376,976.22/672.12
  6. Step 6: Final answer
    x = 560.88

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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.