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Finding the Fourth Proportional to 836.32, 1,251.92 and 527.08

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Solution

The fourth proportional to 836.32, 1,251.92 and 527.08 is: 789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,251.92 = 527.08 : x
  2. Step 2: Convert to fraction form
    836.32/1,251.92 = 527.08/x
  3. Step 3: Cross multiply
    836.32x = 1,251.92 × 527.08
  4. Step 4: Simplify right side
    836.32x = 659,861.99
  5. Step 5: Solve for x
    x = 659,861.99/836.32
  6. Step 6: Final answer
    x = 789.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.