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Finding the Fourth Proportional to 681.28, 940.80 and 563.44

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Solution

The fourth proportional to 681.28, 940.80 and 563.44 is: 778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.28 : 940.80 = 563.44 : x
  2. Step 2: Convert to fraction form
    681.28/940.80 = 563.44/x
  3. Step 3: Cross multiply
    681.28x = 940.80 × 563.44
  4. Step 4: Simplify right side
    681.28x = 530,084.35
  5. Step 5: Solve for x
    x = 530,084.35/681.28
  6. Step 6: Final answer
    x = 778.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.