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Finding the Fourth Proportional to 549.72, 825.17 and 491.58

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Solution

The fourth proportional to 549.72, 825.17 and 491.58 is: 737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 825.17 = 491.58 : x
  2. Step 2: Convert to fraction form
    549.72/825.17 = 491.58/x
  3. Step 3: Cross multiply
    549.72x = 825.17 × 491.58
  4. Step 4: Simplify right side
    549.72x = 405,634.61
  5. Step 5: Solve for x
    x = 405,634.61/549.72
  6. Step 6: Final answer
    x = 737.89

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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.