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Finding the Fourth Proportional to 1,375.28, 2,062.65 and 450.56

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Solution

The fourth proportional to 1,375.28, 2,062.65 and 450.56 is: 675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.28 : 2,062.65 = 450.56 : x
  2. Step 2: Convert to fraction form
    1,375.28/2,062.65 = 450.56/x
  3. Step 3: Cross multiply
    1,375.28x = 2,062.65 × 450.56
  4. Step 4: Simplify right side
    1,375.28x = 929,337.27
  5. Step 5: Solve for x
    x = 929,337.27/1,375.28
  6. Step 6: Final answer
    x = 675.75

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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.