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Finding the Fourth Proportional to 1,375.12, 2,062.64 and 401.24

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Solution

The fourth proportional to 1,375.12, 2,062.64 and 401.24 is: 601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.12 : 2,062.64 = 401.24 : x
  2. Step 2: Convert to fraction form
    1,375.12/2,062.64 = 401.24/x
  3. Step 3: Cross multiply
    1,375.12x = 2,062.64 × 401.24
  4. Step 4: Simplify right side
    1,375.12x = 827,613.67
  5. Step 5: Solve for x
    x = 827,613.67/1,375.12
  6. Step 6: Final answer
    x = 601.85

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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.