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Finding the Fourth Proportional to 549.44, 820.96 and 452

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Solution

The fourth proportional to 549.44, 820.96 and 452 is: 675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.44 : 820.96 = 452 : x
  2. Step 2: Convert to fraction form
    549.44/820.96 = 452/x
  3. Step 3: Cross multiply
    549.44x = 820.96 × 452
  4. Step 4: Simplify right side
    549.44x = 371,073.92
  5. Step 5: Solve for x
    x = 371,073.92/549.44
  6. Step 6: Final answer
    x = 675.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.