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Finding the Fourth Proportional to 912.27, 1,257.89 and 743.97

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Solution

The fourth proportional to 912.27, 1,257.89 and 743.97 is: 1,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.27 : 1,257.89 = 743.97 : x
  2. Step 2: Convert to fraction form
    912.27/1,257.89 = 743.97/x
  3. Step 3: Cross multiply
    912.27x = 1,257.89 × 743.97
  4. Step 4: Simplify right side
    912.27x = 935,828.70
  5. Step 5: Solve for x
    x = 935,828.70/912.27
  6. Step 6: Final answer
    x = 1,025.82

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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.