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Finding the Fourth Proportional to 682.80, 1,025.16 and 394.56

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Solution

The fourth proportional to 682.80, 1,025.16 and 394.56 is: 592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,025.16 = 394.56 : x
  2. Step 2: Convert to fraction form
    682.80/1,025.16 = 394.56/x
  3. Step 3: Cross multiply
    682.80x = 1,025.16 × 394.56
  4. Step 4: Simplify right side
    682.80x = 404,487.13
  5. Step 5: Solve for x
    x = 404,487.13/682.80
  6. Step 6: Final answer
    x = 592.39

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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.