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Finding the Fourth Proportional to 672.29, 927.89 and 423.44

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Solution

The fourth proportional to 672.29, 927.89 and 423.44 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.29 : 927.89 = 423.44 : x
  2. Step 2: Convert to fraction form
    672.29/927.89 = 423.44/x
  3. Step 3: Cross multiply
    672.29x = 927.89 × 423.44
  4. Step 4: Simplify right side
    672.29x = 392,907.53
  5. Step 5: Solve for x
    x = 392,907.53/672.29
  6. Step 6: Final answer
    x = 584.43

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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.