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Finding the Fourth Proportional to 682.90, 1,025.39 and 410.20

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Solution

The fourth proportional to 682.90, 1,025.39 and 410.20 is: 615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.90 : 1,025.39 = 410.20 : x
  2. Step 2: Convert to fraction form
    682.90/1,025.39 = 410.20/x
  3. Step 3: Cross multiply
    682.90x = 1,025.39 × 410.20
  4. Step 4: Simplify right side
    682.90x = 420,613.44
  5. Step 5: Solve for x
    x = 420,613.44/682.90
  6. Step 6: Final answer
    x = 615.92

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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.