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Finding the Fourth Proportional to 2,240.77, 3,359.23 and 779.73

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Solution

The fourth proportional to 2,240.77, 3,359.23 and 779.73 is: 1,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.77 : 3,359.23 = 779.73 : x
  2. Step 2: Convert to fraction form
    2,240.77/3,359.23 = 779.73/x
  3. Step 3: Cross multiply
    2,240.77x = 3,359.23 × 779.73
  4. Step 4: Simplify right side
    2,240.77x = 2,619,292.41
  5. Step 5: Solve for x
    x = 2,619,292.41/2,240.77
  6. Step 6: Final answer
    x = 1,168.93

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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.