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Finding the Fourth Proportional to 681.12, 1,019.61 and 449.55

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Solution

The fourth proportional to 681.12, 1,019.61 and 449.55 is: 672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 1,019.61 = 449.55 : x
  2. Step 2: Convert to fraction form
    681.12/1,019.61 = 449.55/x
  3. Step 3: Cross multiply
    681.12x = 1,019.61 × 449.55
  4. Step 4: Simplify right side
    681.12x = 458,365.68
  5. Step 5: Solve for x
    x = 458,365.68/681.12
  6. Step 6: Final answer
    x = 672.96

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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.