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Finding the Fourth Proportional to 511.47, 763.50 and 449.97

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Solution

The fourth proportional to 511.47, 763.50 and 449.97 is: 671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.47 : 763.50 = 449.97 : x
  2. Step 2: Convert to fraction form
    511.47/763.50 = 449.97/x
  3. Step 3: Cross multiply
    511.47x = 763.50 × 449.97
  4. Step 4: Simplify right side
    511.47x = 343,552.10
  5. Step 5: Solve for x
    x = 343,552.10/511.47
  6. Step 6: Final answer
    x = 671.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.