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Finding the Fourth Proportional to 1,329.73, 1,991.85 and 780.26

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Solution

The fourth proportional to 1,329.73, 1,991.85 and 780.26 is: 1,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.73 : 1,991.85 = 780.26 : x
  2. Step 2: Convert to fraction form
    1,329.73/1,991.85 = 780.26/x
  3. Step 3: Cross multiply
    1,329.73x = 1,991.85 × 780.26
  4. Step 4: Simplify right side
    1,329.73x = 1,554,160.88
  5. Step 5: Solve for x
    x = 1,554,160.88/1,329.73
  6. Step 6: Final answer
    x = 1,168.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.