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Finding the Fourth Proportional to 549.64, 757.54 and 456.20

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Solution

The fourth proportional to 549.64, 757.54 and 456.20 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.64 : 757.54 = 456.20 : x
  2. Step 2: Convert to fraction form
    549.64/757.54 = 456.20/x
  3. Step 3: Cross multiply
    549.64x = 757.54 × 456.20
  4. Step 4: Simplify right side
    549.64x = 345,589.75
  5. Step 5: Solve for x
    x = 345,589.75/549.64
  6. Step 6: Final answer
    x = 628.76

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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.