Home / 2,229.24-3,342.81-668.64

Finding the Fourth Proportional to 2,229.24, 3,342.81 and 668.64

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Solution

The fourth proportional to 2,229.24, 3,342.81 and 668.64 is: 1,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.24 : 3,342.81 = 668.64 : x
  2. Step 2: Convert to fraction form
    2,229.24/3,342.81 = 668.64/x
  3. Step 3: Cross multiply
    2,229.24x = 3,342.81 × 668.64
  4. Step 4: Simplify right side
    2,229.24x = 2,235,136.48
  5. Step 5: Solve for x
    x = 2,235,136.48/2,229.24
  6. Step 6: Final answer
    x = 1,002.65

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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.