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Finding the Fourth Proportional to 549.90, 820.46 and 537.43

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Solution

The fourth proportional to 549.90, 820.46 and 537.43 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 820.46 = 537.43 : x
  2. Step 2: Convert to fraction form
    549.90/820.46 = 537.43/x
  3. Step 3: Cross multiply
    549.90x = 820.46 × 537.43
  4. Step 4: Simplify right side
    549.90x = 440,939.82
  5. Step 5: Solve for x
    x = 440,939.82/549.90
  6. Step 6: Final answer
    x = 801.85

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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.