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Finding the Fourth Proportional to 682.20, 1,022.54 and 407.79

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Solution

The fourth proportional to 682.20, 1,022.54 and 407.79 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 1,022.54 = 407.79 : x
  2. Step 2: Convert to fraction form
    682.20/1,022.54 = 407.79/x
  3. Step 3: Cross multiply
    682.20x = 1,022.54 × 407.79
  4. Step 4: Simplify right side
    682.20x = 416,979.55
  5. Step 5: Solve for x
    x = 416,979.55/682.20
  6. Step 6: Final answer
    x = 611.23

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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.