Home / 1,467.43-2,200.78-427.21

Finding the Fourth Proportional to 1,467.43, 2,200.78 and 427.21

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Solution

The fourth proportional to 1,467.43, 2,200.78 and 427.21 is: 640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.43 : 2,200.78 = 427.21 : x
  2. Step 2: Convert to fraction form
    1,467.43/2,200.78 = 427.21/x
  3. Step 3: Cross multiply
    1,467.43x = 2,200.78 × 427.21
  4. Step 4: Simplify right side
    1,467.43x = 940,195.22
  5. Step 5: Solve for x
    x = 940,195.22/1,467.43
  6. Step 6: Final answer
    x = 640.71

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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.