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Finding the Fourth Proportional to 836.10, 1,251.42 and 699.42

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Solution

The fourth proportional to 836.10, 1,251.42 and 699.42 is: 1,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.10 : 1,251.42 = 699.42 : x
  2. Step 2: Convert to fraction form
    836.10/1,251.42 = 699.42/x
  3. Step 3: Cross multiply
    836.10x = 1,251.42 × 699.42
  4. Step 4: Simplify right side
    836.10x = 875,268.18
  5. Step 5: Solve for x
    x = 875,268.18/836.10
  6. Step 6: Final answer
    x = 1,046.85

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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.