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Finding the Fourth Proportional to 1,249.28, 1,871.04 and 991.04

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Solution

The fourth proportional to 1,249.28, 1,871.04 and 991.04 is: 1,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.28 : 1,871.04 = 991.04 : x
  2. Step 2: Convert to fraction form
    1,249.28/1,871.04 = 991.04/x
  3. Step 3: Cross multiply
    1,249.28x = 1,871.04 × 991.04
  4. Step 4: Simplify right side
    1,249.28x = 1,854,275.48
  5. Step 5: Solve for x
    x = 1,854,275.48/1,249.28
  6. Step 6: Final answer
    x = 1,484.28

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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.