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Finding the Fourth Proportional to 549.60, 820.08 and 537.18

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Solution

The fourth proportional to 549.60, 820.08 and 537.18 is: 801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 820.08 = 537.18 : x
  2. Step 2: Convert to fraction form
    549.60/820.08 = 537.18/x
  3. Step 3: Cross multiply
    549.60x = 820.08 × 537.18
  4. Step 4: Simplify right side
    549.60x = 440,530.57
  5. Step 5: Solve for x
    x = 440,530.57/549.60
  6. Step 6: Final answer
    x = 801.55

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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.