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Finding the Fourth Proportional to 723.49, 1,085.47 and 449.78

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Solution

The fourth proportional to 723.49, 1,085.47 and 449.78 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.49 : 1,085.47 = 449.78 : x
  2. Step 2: Convert to fraction form
    723.49/1,085.47 = 449.78/x
  3. Step 3: Cross multiply
    723.49x = 1,085.47 × 449.78
  4. Step 4: Simplify right side
    723.49x = 488,220.15
  5. Step 5: Solve for x
    x = 488,220.15/723.49
  6. Step 6: Final answer
    x = 674.81

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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.