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Finding the Fourth Proportional to 2,228.44, 3,342.60 and 668.44

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Solution

The fourth proportional to 2,228.44, 3,342.60 and 668.44 is: 1,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.44 : 3,342.60 = 668.44 : x
  2. Step 2: Convert to fraction form
    2,228.44/3,342.60 = 668.44/x
  3. Step 3: Cross multiply
    2,228.44x = 3,342.60 × 668.44
  4. Step 4: Simplify right side
    2,228.44x = 2,234,327.54
  5. Step 5: Solve for x
    x = 2,234,327.54/2,228.44
  6. Step 6: Final answer
    x = 1,002.64

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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.