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Finding the Fourth Proportional to 1,277.72, 1,763.21 and 780.24

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Solution

The fourth proportional to 1,277.72, 1,763.21 and 780.24 is: 1,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.72 : 1,763.21 = 780.24 : x
  2. Step 2: Convert to fraction form
    1,277.72/1,763.21 = 780.24/x
  3. Step 3: Cross multiply
    1,277.72x = 1,763.21 × 780.24
  4. Step 4: Simplify right side
    1,277.72x = 1,375,723.07
  5. Step 5: Solve for x
    x = 1,375,723.07/1,277.72
  6. Step 6: Final answer
    x = 1,076.71

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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.