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Finding the Fourth Proportional to 496.40, 743.96 and 381.84

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Solution

The fourth proportional to 496.40, 743.96 and 381.84 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.40 : 743.96 = 381.84 : x
  2. Step 2: Convert to fraction form
    496.40/743.96 = 381.84/x
  3. Step 3: Cross multiply
    496.40x = 743.96 × 381.84
  4. Step 4: Simplify right side
    496.40x = 284,073.69
  5. Step 5: Solve for x
    x = 284,073.69/496.40
  6. Step 6: Final answer
    x = 572.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.