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Finding the Fourth Proportional to 574.82, 863.78 and 301.11

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Solution

The fourth proportional to 574.82, 863.78 and 301.11 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 863.78 = 301.11 : x
  2. Step 2: Convert to fraction form
    574.82/863.78 = 301.11/x
  3. Step 3: Cross multiply
    574.82x = 863.78 × 301.11
  4. Step 4: Simplify right side
    574.82x = 260,092.80
  5. Step 5: Solve for x
    x = 260,092.80/574.82
  6. Step 6: Final answer
    x = 452.48

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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.