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Finding the Fourth Proportional to 2,198.58, 3,297.41 and 638.25

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Solution

The fourth proportional to 2,198.58, 3,297.41 and 638.25 is: 957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.58 : 3,297.41 = 638.25 : x
  2. Step 2: Convert to fraction form
    2,198.58/3,297.41 = 638.25/x
  3. Step 3: Cross multiply
    2,198.58x = 3,297.41 × 638.25
  4. Step 4: Simplify right side
    2,198.58x = 2,104,558.77
  5. Step 5: Solve for x
    x = 2,104,558.77/2,198.58
  6. Step 6: Final answer
    x = 957.24

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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.