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Finding the Fourth Proportional to 682.57, 1,022.86 and 422.65

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Solution

The fourth proportional to 682.57, 1,022.86 and 422.65 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.57 : 1,022.86 = 422.65 : x
  2. Step 2: Convert to fraction form
    682.57/1,022.86 = 422.65/x
  3. Step 3: Cross multiply
    682.57x = 1,022.86 × 422.65
  4. Step 4: Simplify right side
    682.57x = 432,311.78
  5. Step 5: Solve for x
    x = 432,311.78/682.57
  6. Step 6: Final answer
    x = 633.36

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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.