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Finding the Fourth Proportional to 2,442.69, 3,664.81 and 798.86

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Solution

The fourth proportional to 2,442.69, 3,664.81 and 798.86 is: 1,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.69 : 3,664.81 = 798.86 : x
  2. Step 2: Convert to fraction form
    2,442.69/3,664.81 = 798.86/x
  3. Step 3: Cross multiply
    2,442.69x = 3,664.81 × 798.86
  4. Step 4: Simplify right side
    2,442.69x = 2,927,680.28
  5. Step 5: Solve for x
    x = 2,927,680.28/2,442.69
  6. Step 6: Final answer
    x = 1,198.55

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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.