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Finding the Fourth Proportional to 1,286.31, 1,775.10 and 696.84

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Solution

The fourth proportional to 1,286.31, 1,775.10 and 696.84 is: 961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.31 : 1,775.10 = 696.84 : x
  2. Step 2: Convert to fraction form
    1,286.31/1,775.10 = 696.84/x
  3. Step 3: Cross multiply
    1,286.31x = 1,775.10 × 696.84
  4. Step 4: Simplify right side
    1,286.31x = 1,236,960.68
  5. Step 5: Solve for x
    x = 1,236,960.68/1,286.31
  6. Step 6: Final answer
    x = 961.63

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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.