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Finding the Fourth Proportional to 549.24, 757.62 and 418.20

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Solution

The fourth proportional to 549.24, 757.62 and 418.20 is: 576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 757.62 = 418.20 : x
  2. Step 2: Convert to fraction form
    549.24/757.62 = 418.20/x
  3. Step 3: Cross multiply
    549.24x = 757.62 × 418.20
  4. Step 4: Simplify right side
    549.24x = 316,836.68
  5. Step 5: Solve for x
    x = 316,836.68/549.24
  6. Step 6: Final answer
    x = 576.86

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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.