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Finding the Fourth Proportional to 462.92, 634.77 and 447.39

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Solution

The fourth proportional to 462.92, 634.77 and 447.39 is: 613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 634.77 = 447.39 : x
  2. Step 2: Convert to fraction form
    462.92/634.77 = 447.39/x
  3. Step 3: Cross multiply
    462.92x = 634.77 × 447.39
  4. Step 4: Simplify right side
    462.92x = 283,989.75
  5. Step 5: Solve for x
    x = 283,989.75/462.92
  6. Step 6: Final answer
    x = 613.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.