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Finding the Fourth Proportional to 680.36, 943.17 and 657.68

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Solution

The fourth proportional to 680.36, 943.17 and 657.68 is: 911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.36 : 943.17 = 657.68 : x
  2. Step 2: Convert to fraction form
    680.36/943.17 = 657.68/x
  3. Step 3: Cross multiply
    680.36x = 943.17 × 657.68
  4. Step 4: Simplify right side
    680.36x = 620,299.33
  5. Step 5: Solve for x
    x = 620,299.33/680.36
  6. Step 6: Final answer
    x = 911.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.