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Finding the Fourth Proportional to 549.72, 759.42 and 426.96

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Solution

The fourth proportional to 549.72, 759.42 and 426.96 is: 589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 759.42 = 426.96 : x
  2. Step 2: Convert to fraction form
    549.72/759.42 = 426.96/x
  3. Step 3: Cross multiply
    549.72x = 759.42 × 426.96
  4. Step 4: Simplify right side
    549.72x = 324,241.96
  5. Step 5: Solve for x
    x = 324,241.96/549.72
  6. Step 6: Final answer
    x = 589.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.