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Finding the Fourth Proportional to 1,251.61, 1,876.94 and 429.73

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Solution

The fourth proportional to 1,251.61, 1,876.94 and 429.73 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.61 : 1,876.94 = 429.73 : x
  2. Step 2: Convert to fraction form
    1,251.61/1,876.94 = 429.73/x
  3. Step 3: Cross multiply
    1,251.61x = 1,876.94 × 429.73
  4. Step 4: Simplify right side
    1,251.61x = 806,575.28
  5. Step 5: Solve for x
    x = 806,575.28/1,251.61
  6. Step 6: Final answer
    x = 644.43

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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.