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Finding the Fourth Proportional to 996.32, 1,375.16 and 664.88

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Solution

The fourth proportional to 996.32, 1,375.16 and 664.88 is: 917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.32 : 1,375.16 = 664.88 : x
  2. Step 2: Convert to fraction form
    996.32/1,375.16 = 664.88/x
  3. Step 3: Cross multiply
    996.32x = 1,375.16 × 664.88
  4. Step 4: Simplify right side
    996.32x = 914,306.18
  5. Step 5: Solve for x
    x = 914,306.18/996.32
  6. Step 6: Final answer
    x = 917.68

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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.