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Finding the Fourth Proportional to 1,251.68, 1,876.77 and 765.07

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Solution

The fourth proportional to 1,251.68, 1,876.77 and 765.07 is: 1,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.68 : 1,876.77 = 765.07 : x
  2. Step 2: Convert to fraction form
    1,251.68/1,876.77 = 765.07/x
  3. Step 3: Cross multiply
    1,251.68x = 1,876.77 × 765.07
  4. Step 4: Simplify right side
    1,251.68x = 1,435,855.73
  5. Step 5: Solve for x
    x = 1,435,855.73/1,251.68
  6. Step 6: Final answer
    x = 1,147.15

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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.