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Finding the Fourth Proportional to 680.92, 938.82 and 563.38

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Solution

The fourth proportional to 680.92, 938.82 and 563.38 is: 776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.92 : 938.82 = 563.38 : x
  2. Step 2: Convert to fraction form
    680.92/938.82 = 563.38/x
  3. Step 3: Cross multiply
    680.92x = 938.82 × 563.38
  4. Step 4: Simplify right side
    680.92x = 528,912.41
  5. Step 5: Solve for x
    x = 528,912.41/680.92
  6. Step 6: Final answer
    x = 776.76

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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.