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Finding the Fourth Proportional to 2,422.92, 3,634.38 and 779.58

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Solution

The fourth proportional to 2,422.92, 3,634.38 and 779.58 is: 1,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.92 : 3,634.38 = 779.58 : x
  2. Step 2: Convert to fraction form
    2,422.92/3,634.38 = 779.58/x
  3. Step 3: Cross multiply
    2,422.92x = 3,634.38 × 779.58
  4. Step 4: Simplify right side
    2,422.92x = 2,833,289.96
  5. Step 5: Solve for x
    x = 2,833,289.96/2,422.92
  6. Step 6: Final answer
    x = 1,169.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.