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Finding the Fourth Proportional to 452.31, 628.38 and 447.87

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Solution

The fourth proportional to 452.31, 628.38 and 447.87 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 628.38 = 447.87 : x
  2. Step 2: Convert to fraction form
    452.31/628.38 = 447.87/x
  3. Step 3: Cross multiply
    452.31x = 628.38 × 447.87
  4. Step 4: Simplify right side
    452.31x = 281,432.55
  5. Step 5: Solve for x
    x = 281,432.55/452.31
  6. Step 6: Final answer
    x = 622.21

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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.