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Finding the Fourth Proportional to 549.20, 759.84 and 480.40

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Solution

The fourth proportional to 549.20, 759.84 and 480.40 is: 664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.20 : 759.84 = 480.40 : x
  2. Step 2: Convert to fraction form
    549.20/759.84 = 480.40/x
  3. Step 3: Cross multiply
    549.20x = 759.84 × 480.40
  4. Step 4: Simplify right side
    549.20x = 365,027.14
  5. Step 5: Solve for x
    x = 365,027.14/549.20
  6. Step 6: Final answer
    x = 664.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.