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Finding the Fourth Proportional to 549.76, 757.38 and 452.08

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Solution

The fourth proportional to 549.76, 757.38 and 452.08 is: 622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 757.38 = 452.08 : x
  2. Step 2: Convert to fraction form
    549.76/757.38 = 452.08/x
  3. Step 3: Cross multiply
    549.76x = 757.38 × 452.08
  4. Step 4: Simplify right side
    549.76x = 342,396.35
  5. Step 5: Solve for x
    x = 342,396.35/549.76
  6. Step 6: Final answer
    x = 622.81

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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.