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Finding the Fourth Proportional to 925.38, 1,278.84 and 826.96

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Solution

The fourth proportional to 925.38, 1,278.84 and 826.96 is: 1,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.38 : 1,278.84 = 826.96 : x
  2. Step 2: Convert to fraction form
    925.38/1,278.84 = 826.96/x
  3. Step 3: Cross multiply
    925.38x = 1,278.84 × 826.96
  4. Step 4: Simplify right side
    925.38x = 1,057,549.53
  5. Step 5: Solve for x
    x = 1,057,549.53/925.38
  6. Step 6: Final answer
    x = 1,142.83

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Double scale
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1.5x scale

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.