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Finding the Fourth Proportional to 1,286.92, 1,776.78 and 763.12

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Solution

The fourth proportional to 1,286.92, 1,776.78 and 763.12 is: 1,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.92 : 1,776.78 = 763.12 : x
  2. Step 2: Convert to fraction form
    1,286.92/1,776.78 = 763.12/x
  3. Step 3: Cross multiply
    1,286.92x = 1,776.78 × 763.12
  4. Step 4: Simplify right side
    1,286.92x = 1,355,896.35
  5. Step 5: Solve for x
    x = 1,355,896.35/1,286.92
  6. Step 6: Final answer
    x = 1,053.60

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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.