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Finding the Fourth Proportional to 1,251.96, 1,876.14 and 920.29

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Solution

The fourth proportional to 1,251.96, 1,876.14 and 920.29 is: 1,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.96 : 1,876.14 = 920.29 : x
  2. Step 2: Convert to fraction form
    1,251.96/1,876.14 = 920.29/x
  3. Step 3: Cross multiply
    1,251.96x = 1,876.14 × 920.29
  4. Step 4: Simplify right side
    1,251.96x = 1,726,592.88
  5. Step 5: Solve for x
    x = 1,726,592.88/1,251.96
  6. Step 6: Final answer
    x = 1,379.11

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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.