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Finding the Fourth Proportional to 549.38, 824.28 and 439.56

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Solution

The fourth proportional to 549.38, 824.28 and 439.56 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 824.28 = 439.56 : x
  2. Step 2: Convert to fraction form
    549.38/824.28 = 439.56/x
  3. Step 3: Cross multiply
    549.38x = 824.28 × 439.56
  4. Step 4: Simplify right side
    549.38x = 362,318.87
  5. Step 5: Solve for x
    x = 362,318.87/549.38
  6. Step 6: Final answer
    x = 659.50

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1.5x scale

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.