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Finding the Fourth Proportional to 681.92, 1,022.88 and 653.12

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Solution

The fourth proportional to 681.92, 1,022.88 and 653.12 is: 979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.92 : 1,022.88 = 653.12 : x
  2. Step 2: Convert to fraction form
    681.92/1,022.88 = 653.12/x
  3. Step 3: Cross multiply
    681.92x = 1,022.88 × 653.12
  4. Step 4: Simplify right side
    681.92x = 668,063.39
  5. Step 5: Solve for x
    x = 668,063.39/681.92
  6. Step 6: Final answer
    x = 979.68

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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.