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Finding the Fourth Proportional to 2,239.85, 3,359.81 and 779.02

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Solution

The fourth proportional to 2,239.85, 3,359.81 and 779.02 is: 1,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.85 : 3,359.81 = 779.02 : x
  2. Step 2: Convert to fraction form
    2,239.85/3,359.81 = 779.02/x
  3. Step 3: Cross multiply
    2,239.85x = 3,359.81 × 779.02
  4. Step 4: Simplify right side
    2,239.85x = 2,617,352.73
  5. Step 5: Solve for x
    x = 2,617,352.73/2,239.85
  6. Step 6: Final answer
    x = 1,168.54

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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.