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Finding the Fourth Proportional to 680.82, 1,026.31 and 635.61

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Solution

The fourth proportional to 680.82, 1,026.31 and 635.61 is: 958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.82 : 1,026.31 = 635.61 : x
  2. Step 2: Convert to fraction form
    680.82/1,026.31 = 635.61/x
  3. Step 3: Cross multiply
    680.82x = 1,026.31 × 635.61
  4. Step 4: Simplify right side
    680.82x = 652,335.15
  5. Step 5: Solve for x
    x = 652,335.15/680.82
  6. Step 6: Final answer
    x = 958.16

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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.