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Finding the Fourth Proportional to 496.20, 743.88 and 428.52

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Solution

The fourth proportional to 496.20, 743.88 and 428.52 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.20 : 743.88 = 428.52 : x
  2. Step 2: Convert to fraction form
    496.20/743.88 = 428.52/x
  3. Step 3: Cross multiply
    496.20x = 743.88 × 428.52
  4. Step 4: Simplify right side
    496.20x = 318,767.46
  5. Step 5: Solve for x
    x = 318,767.46/496.20
  6. Step 6: Final answer
    x = 642.42

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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.