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Finding the Fourth Proportional to 622.50, 932.93 and 449.74

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Solution

The fourth proportional to 622.50, 932.93 and 449.74 is: 674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.50 : 932.93 = 449.74 : x
  2. Step 2: Convert to fraction form
    622.50/932.93 = 449.74/x
  3. Step 3: Cross multiply
    622.50x = 932.93 × 449.74
  4. Step 4: Simplify right side
    622.50x = 419,575.86
  5. Step 5: Solve for x
    x = 419,575.86/622.50
  6. Step 6: Final answer
    x = 674.02

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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.