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Finding the Fourth Proportional to 2,727.29, 4,090.97 and 779.49

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Solution

The fourth proportional to 2,727.29, 4,090.97 and 779.49 is: 1,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.29 : 4,090.97 = 779.49 : x
  2. Step 2: Convert to fraction form
    2,727.29/4,090.97 = 779.49/x
  3. Step 3: Cross multiply
    2,727.29x = 4,090.97 × 779.49
  4. Step 4: Simplify right side
    2,727.29x = 3,188,870.21
  5. Step 5: Solve for x
    x = 3,188,870.21/2,727.29
  6. Step 6: Final answer
    x = 1,169.25

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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.