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Finding the Fourth Proportional to 549.89, 757.85 and 534.09

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Solution

The fourth proportional to 549.89, 757.85 and 534.09 is: 736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.89 : 757.85 = 534.09 : x
  2. Step 2: Convert to fraction form
    549.89/757.85 = 534.09/x
  3. Step 3: Cross multiply
    549.89x = 757.85 × 534.09
  4. Step 4: Simplify right side
    549.89x = 404,757.44
  5. Step 5: Solve for x
    x = 404,757.44/549.89
  6. Step 6: Final answer
    x = 736.08

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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.