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Finding the Fourth Proportional to 574.33, 860.89 and 281.92

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Solution

The fourth proportional to 574.33, 860.89 and 281.92 is: 422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.33 : 860.89 = 281.92 : x
  2. Step 2: Convert to fraction form
    574.33/860.89 = 281.92/x
  3. Step 3: Cross multiply
    574.33x = 860.89 × 281.92
  4. Step 4: Simplify right side
    574.33x = 242,704.61
  5. Step 5: Solve for x
    x = 242,704.61/574.33
  6. Step 6: Final answer
    x = 422.59

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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.