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Finding the Fourth Proportional to 681.62, 1,022.42 and 406.72

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Solution

The fourth proportional to 681.62, 1,022.42 and 406.72 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 1,022.42 = 406.72 : x
  2. Step 2: Convert to fraction form
    681.62/1,022.42 = 406.72/x
  3. Step 3: Cross multiply
    681.62x = 1,022.42 × 406.72
  4. Step 4: Simplify right side
    681.62x = 415,840.96
  5. Step 5: Solve for x
    x = 415,840.96/681.62
  6. Step 6: Final answer
    x = 610.08

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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.