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Finding the Fourth Proportional to 634.23, 874.62 and 447.39

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Solution

The fourth proportional to 634.23, 874.62 and 447.39 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 874.62 = 447.39 : x
  2. Step 2: Convert to fraction form
    634.23/874.62 = 447.39/x
  3. Step 3: Cross multiply
    634.23x = 874.62 × 447.39
  4. Step 4: Simplify right side
    634.23x = 391,296.24
  5. Step 5: Solve for x
    x = 391,296.24/634.23
  6. Step 6: Final answer
    x = 616.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.