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Finding the Fourth Proportional to 996.64, 1,375.43 and 664.85

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Solution

The fourth proportional to 996.64, 1,375.43 and 664.85 is: 917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.64 : 1,375.43 = 664.85 : x
  2. Step 2: Convert to fraction form
    996.64/1,375.43 = 664.85/x
  3. Step 3: Cross multiply
    996.64x = 1,375.43 × 664.85
  4. Step 4: Simplify right side
    996.64x = 914,454.75
  5. Step 5: Solve for x
    x = 914,454.75/996.64
  6. Step 6: Final answer
    x = 917.54

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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.