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Finding the Fourth Proportional to 1,251.10, 1,876.65 and 385.30

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Solution

The fourth proportional to 1,251.10, 1,876.65 and 385.30 is: 577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.10 : 1,876.65 = 385.30 : x
  2. Step 2: Convert to fraction form
    1,251.10/1,876.65 = 385.30/x
  3. Step 3: Cross multiply
    1,251.10x = 1,876.65 × 385.30
  4. Step 4: Simplify right side
    1,251.10x = 723,073.25
  5. Step 5: Solve for x
    x = 723,073.25/1,251.10
  6. Step 6: Final answer
    x = 577.95

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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.