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Finding the Fourth Proportional to 462.48, 637.76 and 396.26

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Solution

The fourth proportional to 462.48, 637.76 and 396.26 is: 546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.48 : 637.76 = 396.26 : x
  2. Step 2: Convert to fraction form
    462.48/637.76 = 396.26/x
  3. Step 3: Cross multiply
    462.48x = 637.76 × 396.26
  4. Step 4: Simplify right side
    462.48x = 252,713.61
  5. Step 5: Solve for x
    x = 252,713.61/462.48
  6. Step 6: Final answer
    x = 546.43

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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.