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Finding the Fourth Proportional to 892.86, 1,331.57 and 763.68

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Solution

The fourth proportional to 892.86, 1,331.57 and 763.68 is: 1,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,331.57 = 763.68 : x
  2. Step 2: Convert to fraction form
    892.86/1,331.57 = 763.68/x
  3. Step 3: Cross multiply
    892.86x = 1,331.57 × 763.68
  4. Step 4: Simplify right side
    892.86x = 1,016,893.38
  5. Step 5: Solve for x
    x = 1,016,893.38/892.86
  6. Step 6: Final answer
    x = 1,138.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.