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Finding the Fourth Proportional to 2,240.27, 3,358.48 and 779.23

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Solution

The fourth proportional to 2,240.27, 3,358.48 and 779.23 is: 1,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.27 : 3,358.48 = 779.23 : x
  2. Step 2: Convert to fraction form
    2,240.27/3,358.48 = 779.23/x
  3. Step 3: Cross multiply
    2,240.27x = 3,358.48 × 779.23
  4. Step 4: Simplify right side
    2,240.27x = 2,617,028.37
  5. Step 5: Solve for x
    x = 2,617,028.37/2,240.27
  6. Step 6: Final answer
    x = 1,168.18

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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.