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Finding the Fourth Proportional to 1,007.32, 1,387.36 and 996.80

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Solution

The fourth proportional to 1,007.32, 1,387.36 and 996.80 is: 1,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.32 : 1,387.36 = 996.80 : x
  2. Step 2: Convert to fraction form
    1,007.32/1,387.36 = 996.80/x
  3. Step 3: Cross multiply
    1,007.32x = 1,387.36 × 996.80
  4. Step 4: Simplify right side
    1,007.32x = 1,382,920.45
  5. Step 5: Solve for x
    x = 1,382,920.45/1,007.32
  6. Step 6: Final answer
    x = 1,372.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.