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Finding the Fourth Proportional to 496.56, 743.48 and 426.90

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Solution

The fourth proportional to 496.56, 743.48 and 426.90 is: 639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 743.48 = 426.90 : x
  2. Step 2: Convert to fraction form
    496.56/743.48 = 426.90/x
  3. Step 3: Cross multiply
    496.56x = 743.48 × 426.90
  4. Step 4: Simplify right side
    496.56x = 317,393.87
  5. Step 5: Solve for x
    x = 317,393.87/496.56
  6. Step 6: Final answer
    x = 639.18

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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.