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Finding the Fourth Proportional to 1,251.25, 1,876.82 and 429.55

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Solution

The fourth proportional to 1,251.25, 1,876.82 and 429.55 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.25 : 1,876.82 = 429.55 : x
  2. Step 2: Convert to fraction form
    1,251.25/1,876.82 = 429.55/x
  3. Step 3: Cross multiply
    1,251.25x = 1,876.82 × 429.55
  4. Step 4: Simplify right side
    1,251.25x = 806,194.16
  5. Step 5: Solve for x
    x = 806,194.16/1,251.25
  6. Step 6: Final answer
    x = 644.31

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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.