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Finding the Fourth Proportional to 682.65, 1,023.19 and 408.15

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Solution

The fourth proportional to 682.65, 1,023.19 and 408.15 is: 611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 1,023.19 = 408.15 : x
  2. Step 2: Convert to fraction form
    682.65/1,023.19 = 408.15/x
  3. Step 3: Cross multiply
    682.65x = 1,023.19 × 408.15
  4. Step 4: Simplify right side
    682.65x = 417,613.98
  5. Step 5: Solve for x
    x = 417,613.98/682.65
  6. Step 6: Final answer
    x = 611.75

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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.