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Finding the Fourth Proportional to 1,249.29, 1,874.61 and 988.61

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Solution

The fourth proportional to 1,249.29, 1,874.61 and 988.61 is: 1,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.29 : 1,874.61 = 988.61 : x
  2. Step 2: Convert to fraction form
    1,249.29/1,874.61 = 988.61/x
  3. Step 3: Cross multiply
    1,249.29x = 1,874.61 × 988.61
  4. Step 4: Simplify right side
    1,249.29x = 1,853,248.82
  5. Step 5: Solve for x
    x = 1,853,248.82/1,249.29
  6. Step 6: Final answer
    x = 1,483.44

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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.