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Finding the Fourth Proportional to 839.27, 1,259.69 and 449.61

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Solution

The fourth proportional to 839.27, 1,259.69 and 449.61 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.27 : 1,259.69 = 449.61 : x
  2. Step 2: Convert to fraction form
    839.27/1,259.69 = 449.61/x
  3. Step 3: Cross multiply
    839.27x = 1,259.69 × 449.61
  4. Step 4: Simplify right side
    839.27x = 566,366.97
  5. Step 5: Solve for x
    x = 566,366.97/839.27
  6. Step 6: Final answer
    x = 674.84

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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.