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Finding the Fourth Proportional to 549.24, 824.42 and 428.84

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Solution

The fourth proportional to 549.24, 824.42 and 428.84 is: 643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 824.42 = 428.84 : x
  2. Step 2: Convert to fraction form
    549.24/824.42 = 428.84/x
  3. Step 3: Cross multiply
    549.24x = 824.42 × 428.84
  4. Step 4: Simplify right side
    549.24x = 353,544.27
  5. Step 5: Solve for x
    x = 353,544.27/549.24
  6. Step 6: Final answer
    x = 643.70

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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.