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Finding the Fourth Proportional to 549.76, 827.72 and 481.72

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Solution

The fourth proportional to 549.76, 827.72 and 481.72 is: 725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 827.72 = 481.72 : x
  2. Step 2: Convert to fraction form
    549.76/827.72 = 481.72/x
  3. Step 3: Cross multiply
    549.76x = 827.72 × 481.72
  4. Step 4: Simplify right side
    549.76x = 398,729.28
  5. Step 5: Solve for x
    x = 398,729.28/549.76
  6. Step 6: Final answer
    x = 725.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.