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Finding the Fourth Proportional to 857.44, 1,286.17 and 363.73

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Solution

The fourth proportional to 857.44, 1,286.17 and 363.73 is: 545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,286.17 = 363.73 : x
  2. Step 2: Convert to fraction form
    857.44/1,286.17 = 363.73/x
  3. Step 3: Cross multiply
    857.44x = 1,286.17 × 363.73
  4. Step 4: Simplify right side
    857.44x = 467,815.08
  5. Step 5: Solve for x
    x = 467,815.08/857.44
  6. Step 6: Final answer
    x = 545.59

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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.