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Finding the Fourth Proportional to 549.86, 824.94 and 286.43

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Solution

The fourth proportional to 549.86, 824.94 and 286.43 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 824.94 = 286.43 : x
  2. Step 2: Convert to fraction form
    549.86/824.94 = 286.43/x
  3. Step 3: Cross multiply
    549.86x = 824.94 × 286.43
  4. Step 4: Simplify right side
    549.86x = 236,287.56
  5. Step 5: Solve for x
    x = 236,287.56/549.86
  6. Step 6: Final answer
    x = 429.72

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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.