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Finding the Fourth Proportional to 549.18, 825.39 and 547.56

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Solution

The fourth proportional to 549.18, 825.39 and 547.56 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 825.39 = 547.56 : x
  2. Step 2: Convert to fraction form
    549.18/825.39 = 547.56/x
  3. Step 3: Cross multiply
    549.18x = 825.39 × 547.56
  4. Step 4: Simplify right side
    549.18x = 451,950.55
  5. Step 5: Solve for x
    x = 451,950.55/549.18
  6. Step 6: Final answer
    x = 822.96

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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.