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Finding the Fourth Proportional to 1,251.54, 1,876.74 and 429.54

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Solution

The fourth proportional to 1,251.54, 1,876.74 and 429.54 is: 644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.54 : 1,876.74 = 429.54 : x
  2. Step 2: Convert to fraction form
    1,251.54/1,876.74 = 429.54/x
  3. Step 3: Cross multiply
    1,251.54x = 1,876.74 × 429.54
  4. Step 4: Simplify right side
    1,251.54x = 806,134.90
  5. Step 5: Solve for x
    x = 806,134.90/1,251.54
  6. Step 6: Final answer
    x = 644.11

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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.