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Finding the Fourth Proportional to 449.45, 671.15 and 423.82

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Solution

The fourth proportional to 449.45, 671.15 and 423.82 is: 632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.45 : 671.15 = 423.82 : x
  2. Step 2: Convert to fraction form
    449.45/671.15 = 423.82/x
  3. Step 3: Cross multiply
    449.45x = 671.15 × 423.82
  4. Step 4: Simplify right side
    449.45x = 284,446.79
  5. Step 5: Solve for x
    x = 284,446.79/449.45
  6. Step 6: Final answer
    x = 632.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.