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Finding the Fourth Proportional to 1,293.80, 1,785.46 and 769.73

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Solution

The fourth proportional to 1,293.80, 1,785.46 and 769.73 is: 1,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.80 : 1,785.46 = 769.73 : x
  2. Step 2: Convert to fraction form
    1,293.80/1,785.46 = 769.73/x
  3. Step 3: Cross multiply
    1,293.80x = 1,785.46 × 769.73
  4. Step 4: Simplify right side
    1,293.80x = 1,374,322.13
  5. Step 5: Solve for x
    x = 1,374,322.13/1,293.80
  6. Step 6: Final answer
    x = 1,062.24

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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.