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Finding the Fourth Proportional to 496.45, 748.67 and 493.21

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Solution

The fourth proportional to 496.45, 748.67 and 493.21 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.45 : 748.67 = 493.21 : x
  2. Step 2: Convert to fraction form
    496.45/748.67 = 493.21/x
  3. Step 3: Cross multiply
    496.45x = 748.67 × 493.21
  4. Step 4: Simplify right side
    496.45x = 369,251.53
  5. Step 5: Solve for x
    x = 369,251.53/496.45
  6. Step 6: Final answer
    x = 743.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.