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Finding the Fourth Proportional to 1,327.28, 1,991.98 and 779.92

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Solution

The fourth proportional to 1,327.28, 1,991.98 and 779.92 is: 1,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.28 : 1,991.98 = 779.92 : x
  2. Step 2: Convert to fraction form
    1,327.28/1,991.98 = 779.92/x
  3. Step 3: Cross multiply
    1,327.28x = 1,991.98 × 779.92
  4. Step 4: Simplify right side
    1,327.28x = 1,553,571.18
  5. Step 5: Solve for x
    x = 1,553,571.18/1,327.28
  6. Step 6: Final answer
    x = 1,170.50

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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.