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Finding the Fourth Proportional to 681.71, 1,022.57 and 168.71

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Solution

The fourth proportional to 681.71, 1,022.57 and 168.71 is: 253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.71 : 1,022.57 = 168.71 : x
  2. Step 2: Convert to fraction form
    681.71/1,022.57 = 168.71/x
  3. Step 3: Cross multiply
    681.71x = 1,022.57 × 168.71
  4. Step 4: Simplify right side
    681.71x = 172,511.83
  5. Step 5: Solve for x
    x = 172,511.83/681.71
  6. Step 6: Final answer
    x = 253.06

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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.