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Finding the Fourth Proportional to 574.05, 860.54 and 281.37

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Solution

The fourth proportional to 574.05, 860.54 and 281.37 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.05 : 860.54 = 281.37 : x
  2. Step 2: Convert to fraction form
    574.05/860.54 = 281.37/x
  3. Step 3: Cross multiply
    574.05x = 860.54 × 281.37
  4. Step 4: Simplify right side
    574.05x = 242,128.73
  5. Step 5: Solve for x
    x = 242,128.73/574.05
  6. Step 6: Final answer
    x = 421.79

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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.