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Finding the Fourth Proportional to 1,039.91, 1,550.28 and 987.97

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Solution

The fourth proportional to 1,039.91, 1,550.28 and 987.97 is: 1,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.91 : 1,550.28 = 987.97 : x
  2. Step 2: Convert to fraction form
    1,039.91/1,550.28 = 987.97/x
  3. Step 3: Cross multiply
    1,039.91x = 1,550.28 × 987.97
  4. Step 4: Simplify right side
    1,039.91x = 1,531,630.13
  5. Step 5: Solve for x
    x = 1,531,630.13/1,039.91
  6. Step 6: Final answer
    x = 1,472.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.