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Finding the Fourth Proportional to 457.86, 634.56 and 449.22

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Solution

The fourth proportional to 457.86, 634.56 and 449.22 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 634.56 = 449.22 : x
  2. Step 2: Convert to fraction form
    457.86/634.56 = 449.22/x
  3. Step 3: Cross multiply
    457.86x = 634.56 × 449.22
  4. Step 4: Simplify right side
    457.86x = 285,057.04
  5. Step 5: Solve for x
    x = 285,057.04/457.86
  6. Step 6: Final answer
    x = 622.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.