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Finding the Fourth Proportional to 682.68, 1,022.46 and 408.21

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Solution

The fourth proportional to 682.68, 1,022.46 and 408.21 is: 611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 1,022.46 = 408.21 : x
  2. Step 2: Convert to fraction form
    682.68/1,022.46 = 408.21/x
  3. Step 3: Cross multiply
    682.68x = 1,022.46 × 408.21
  4. Step 4: Simplify right side
    682.68x = 417,378.40
  5. Step 5: Solve for x
    x = 417,378.40/682.68
  6. Step 6: Final answer
    x = 611.38

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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.