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Finding the Fourth Proportional to 682.08, 1,023.12 and 169.08

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Solution

The fourth proportional to 682.08, 1,023.12 and 169.08 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.08 : 1,023.12 = 169.08 : x
  2. Step 2: Convert to fraction form
    682.08/1,023.12 = 169.08/x
  3. Step 3: Cross multiply
    682.08x = 1,023.12 × 169.08
  4. Step 4: Simplify right side
    682.08x = 172,989.13
  5. Step 5: Solve for x
    x = 172,989.13/682.08
  6. Step 6: Final answer
    x = 253.62

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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.