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Finding the Fourth Proportional to 842.14, 1,262.31 and 408.43

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Solution

The fourth proportional to 842.14, 1,262.31 and 408.43 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.14 : 1,262.31 = 408.43 : x
  2. Step 2: Convert to fraction form
    842.14/1,262.31 = 408.43/x
  3. Step 3: Cross multiply
    842.14x = 1,262.31 × 408.43
  4. Step 4: Simplify right side
    842.14x = 515,565.27
  5. Step 5: Solve for x
    x = 515,565.27/842.14
  6. Step 6: Final answer
    x = 612.21

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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.