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Finding the Fourth Proportional to 1,251.26, 1,874.82 and 429.08

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Solution

The fourth proportional to 1,251.26, 1,874.82 and 429.08 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.26 : 1,874.82 = 429.08 : x
  2. Step 2: Convert to fraction form
    1,251.26/1,874.82 = 429.08/x
  3. Step 3: Cross multiply
    1,251.26x = 1,874.82 × 429.08
  4. Step 4: Simplify right side
    1,251.26x = 804,447.77
  5. Step 5: Solve for x
    x = 804,447.77/1,251.26
  6. Step 6: Final answer
    x = 642.91

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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.