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Finding the Fourth Proportional to 574.80, 862.21 and 141.96

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Solution

The fourth proportional to 574.80, 862.21 and 141.96 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 862.21 = 141.96 : x
  2. Step 2: Convert to fraction form
    574.80/862.21 = 141.96/x
  3. Step 3: Cross multiply
    574.80x = 862.21 × 141.96
  4. Step 4: Simplify right side
    574.80x = 122,396.47
  5. Step 5: Solve for x
    x = 122,396.47/574.80
  6. Step 6: Final answer
    x = 212.94

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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.