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Finding the Fourth Proportional to 549.87, 824.81 and 396.78

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Solution

The fourth proportional to 549.87, 824.81 and 396.78 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.87 : 824.81 = 396.78 : x
  2. Step 2: Convert to fraction form
    549.87/824.81 = 396.78/x
  3. Step 3: Cross multiply
    549.87x = 824.81 × 396.78
  4. Step 4: Simplify right side
    549.87x = 327,266.13
  5. Step 5: Solve for x
    x = 327,266.13/549.87
  6. Step 6: Final answer
    x = 595.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.