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Finding the Fourth Proportional to 672.03, 927.18 and 406.56

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Solution

The fourth proportional to 672.03, 927.18 and 406.56 is: 560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.03 : 927.18 = 406.56 : x
  2. Step 2: Convert to fraction form
    672.03/927.18 = 406.56/x
  3. Step 3: Cross multiply
    672.03x = 927.18 × 406.56
  4. Step 4: Simplify right side
    672.03x = 376,954.30
  5. Step 5: Solve for x
    x = 376,954.30/672.03
  6. Step 6: Final answer
    x = 560.92

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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.