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Finding the Fourth Proportional to 549.60, 819.84 and 494.88

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Solution

The fourth proportional to 549.60, 819.84 and 494.88 is: 738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 819.84 = 494.88 : x
  2. Step 2: Convert to fraction form
    549.60/819.84 = 494.88/x
  3. Step 3: Cross multiply
    549.60x = 819.84 × 494.88
  4. Step 4: Simplify right side
    549.60x = 405,722.42
  5. Step 5: Solve for x
    x = 405,722.42/549.60
  6. Step 6: Final answer
    x = 738.21

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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.