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Finding the Fourth Proportional to 672.32, 927.92 and 392.72

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Solution

The fourth proportional to 672.32, 927.92 and 392.72 is: 542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.32 : 927.92 = 392.72 : x
  2. Step 2: Convert to fraction form
    672.32/927.92 = 392.72/x
  3. Step 3: Cross multiply
    672.32x = 927.92 × 392.72
  4. Step 4: Simplify right side
    672.32x = 364,412.74
  5. Step 5: Solve for x
    x = 364,412.74/672.32
  6. Step 6: Final answer
    x = 542.02

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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.