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Finding the Fourth Proportional to 2,240.95, 3,362.39 and 779.31

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Solution

The fourth proportional to 2,240.95, 3,362.39 and 779.31 is: 1,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.95 : 3,362.39 = 779.31 : x
  2. Step 2: Convert to fraction form
    2,240.95/3,362.39 = 779.31/x
  3. Step 3: Cross multiply
    2,240.95x = 3,362.39 × 779.31
  4. Step 4: Simplify right side
    2,240.95x = 2,620,344.15
  5. Step 5: Solve for x
    x = 2,620,344.15/2,240.95
  6. Step 6: Final answer
    x = 1,169.30

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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.