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Finding the Fourth Proportional to 496.37, 743.42 and 426.17

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Solution

The fourth proportional to 496.37, 743.42 and 426.17 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.37 : 743.42 = 426.17 : x
  2. Step 2: Convert to fraction form
    496.37/743.42 = 426.17/x
  3. Step 3: Cross multiply
    496.37x = 743.42 × 426.17
  4. Step 4: Simplify right side
    496.37x = 316,817.45
  5. Step 5: Solve for x
    x = 316,817.45/496.37
  6. Step 6: Final answer
    x = 638.28

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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.