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Finding the Fourth Proportional to 2,228.33, 3,342.95 and 668.27

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Solution

The fourth proportional to 2,228.33, 3,342.95 and 668.27 is: 1,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.33 : 3,342.95 = 668.27 : x
  2. Step 2: Convert to fraction form
    2,228.33/3,342.95 = 668.27/x
  3. Step 3: Cross multiply
    2,228.33x = 3,342.95 × 668.27
  4. Step 4: Simplify right side
    2,228.33x = 2,233,993.20
  5. Step 5: Solve for x
    x = 2,233,993.20/2,228.33
  6. Step 6: Final answer
    x = 1,002.54

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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.