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Finding the Fourth Proportional to 682.12, 1,023.17 and 408.29

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Solution

The fourth proportional to 682.12, 1,023.17 and 408.29 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.12 : 1,023.17 = 408.29 : x
  2. Step 2: Convert to fraction form
    682.12/1,023.17 = 408.29/x
  3. Step 3: Cross multiply
    682.12x = 1,023.17 × 408.29
  4. Step 4: Simplify right side
    682.12x = 417,744.45
  5. Step 5: Solve for x
    x = 417,744.45/682.12
  6. Step 6: Final answer
    x = 612.42

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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.