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Finding the Fourth Proportional to 1,277.96, 1,763.60 and 773.73

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Solution

The fourth proportional to 1,277.96, 1,763.60 and 773.73 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.96 : 1,763.60 = 773.73 : x
  2. Step 2: Convert to fraction form
    1,277.96/1,763.60 = 773.73/x
  3. Step 3: Cross multiply
    1,277.96x = 1,763.60 × 773.73
  4. Step 4: Simplify right side
    1,277.96x = 1,364,546.36
  5. Step 5: Solve for x
    x = 1,364,546.36/1,277.96
  6. Step 6: Final answer
    x = 1,067.76

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1.5x scale

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.