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Finding the Fourth Proportional to 681.31, 1,020.60 and 406.42

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Solution

The fourth proportional to 681.31, 1,020.60 and 406.42 is: 608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.31 : 1,020.60 = 406.42 : x
  2. Step 2: Convert to fraction form
    681.31/1,020.60 = 406.42/x
  3. Step 3: Cross multiply
    681.31x = 1,020.60 × 406.42
  4. Step 4: Simplify right side
    681.31x = 414,789.70
  5. Step 5: Solve for x
    x = 414,789.70/681.31
  6. Step 6: Final answer
    x = 608.81

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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.