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Finding the Fourth Proportional to 463.86, 699.71 and 449.28

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Solution

The fourth proportional to 463.86, 699.71 and 449.28 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 699.71 = 449.28 : x
  2. Step 2: Convert to fraction form
    463.86/699.71 = 449.28/x
  3. Step 3: Cross multiply
    463.86x = 699.71 × 449.28
  4. Step 4: Simplify right side
    463.86x = 314,363.46
  5. Step 5: Solve for x
    x = 314,363.46/463.86
  6. Step 6: Final answer
    x = 677.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.