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Finding the Fourth Proportional to 1,375.64, 2,062.46 and 450.90

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Solution

The fourth proportional to 1,375.64, 2,062.46 and 450.90 is: 676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.64 : 2,062.46 = 450.90 : x
  2. Step 2: Convert to fraction form
    1,375.64/2,062.46 = 450.90/x
  3. Step 3: Cross multiply
    1,375.64x = 2,062.46 × 450.90
  4. Step 4: Simplify right side
    1,375.64x = 929,963.21
  5. Step 5: Solve for x
    x = 929,963.21/1,375.64
  6. Step 6: Final answer
    x = 676.02

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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.