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Finding the Fourth Proportional to 1,375.68, 2,062.56 and 644.82

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Solution

The fourth proportional to 1,375.68, 2,062.56 and 644.82 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.68 : 2,062.56 = 644.82 : x
  2. Step 2: Convert to fraction form
    1,375.68/2,062.56 = 644.82/x
  3. Step 3: Cross multiply
    1,375.68x = 2,062.56 × 644.82
  4. Step 4: Simplify right side
    1,375.68x = 1,329,979.94
  5. Step 5: Solve for x
    x = 1,329,979.94/1,375.68
  6. Step 6: Final answer
    x = 966.78

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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.