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Finding the Fourth Proportional to 1,327.28, 1,989.09 and 778.73

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Solution

The fourth proportional to 1,327.28, 1,989.09 and 778.73 is: 1,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.28 : 1,989.09 = 778.73 : x
  2. Step 2: Convert to fraction form
    1,327.28/1,989.09 = 778.73/x
  3. Step 3: Cross multiply
    1,327.28x = 1,989.09 × 778.73
  4. Step 4: Simplify right side
    1,327.28x = 1,548,954.11
  5. Step 5: Solve for x
    x = 1,548,954.11/1,327.28
  6. Step 6: Final answer
    x = 1,167.02

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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.