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Finding the Fourth Proportional to 549.56, 759.34 and 431.44

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Solution

The fourth proportional to 549.56, 759.34 and 431.44 is: 596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 759.34 = 431.44 : x
  2. Step 2: Convert to fraction form
    549.56/759.34 = 431.44/x
  3. Step 3: Cross multiply
    549.56x = 759.34 × 431.44
  4. Step 4: Simplify right side
    549.56x = 327,608.29
  5. Step 5: Solve for x
    x = 327,608.29/549.56
  6. Step 6: Final answer
    x = 596.13

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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.