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Finding the Fourth Proportional to 1,251.91, 1,872.49 and 730.61

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Solution

The fourth proportional to 1,251.91, 1,872.49 and 730.61 is: 1,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.91 : 1,872.49 = 730.61 : x
  2. Step 2: Convert to fraction form
    1,251.91/1,872.49 = 730.61/x
  3. Step 3: Cross multiply
    1,251.91x = 1,872.49 × 730.61
  4. Step 4: Simplify right side
    1,251.91x = 1,368,059.92
  5. Step 5: Solve for x
    x = 1,368,059.92/1,251.91
  6. Step 6: Final answer
    x = 1,092.78

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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.