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Finding the Fourth Proportional to 1,375.02, 2,062.85 and 450.57

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Solution

The fourth proportional to 1,375.02, 2,062.85 and 450.57 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.02 : 2,062.85 = 450.57 : x
  2. Step 2: Convert to fraction form
    1,375.02/2,062.85 = 450.57/x
  3. Step 3: Cross multiply
    1,375.02x = 2,062.85 × 450.57
  4. Step 4: Simplify right side
    1,375.02x = 929,458.32
  5. Step 5: Solve for x
    x = 929,458.32/1,375.02
  6. Step 6: Final answer
    x = 675.96

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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.