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Finding the Fourth Proportional to 2,442.76, 3,663.44 and 799.40

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Solution

The fourth proportional to 2,442.76, 3,663.44 and 799.40 is: 1,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.76 : 3,663.44 = 799.40 : x
  2. Step 2: Convert to fraction form
    2,442.76/3,663.44 = 799.40/x
  3. Step 3: Cross multiply
    2,442.76x = 3,663.44 × 799.40
  4. Step 4: Simplify right side
    2,442.76x = 2,928,553.94
  5. Step 5: Solve for x
    x = 2,928,553.94/2,442.76
  6. Step 6: Final answer
    x = 1,198.87

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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.