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Finding the Fourth Proportional to 680.97, 1,026.48 and 641.34

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Solution

The fourth proportional to 680.97, 1,026.48 and 641.34 is: 966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.97 : 1,026.48 = 641.34 : x
  2. Step 2: Convert to fraction form
    680.97/1,026.48 = 641.34/x
  3. Step 3: Cross multiply
    680.97x = 1,026.48 × 641.34
  4. Step 4: Simplify right side
    680.97x = 658,322.68
  5. Step 5: Solve for x
    x = 658,322.68/680.97
  6. Step 6: Final answer
    x = 966.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.