Home / 1,462.24-2,193.33-422.20

Finding the Fourth Proportional to 1,462.24, 2,193.33 and 422.20

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Solution

The fourth proportional to 1,462.24, 2,193.33 and 422.20 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.24 : 2,193.33 = 422.20 : x
  2. Step 2: Convert to fraction form
    1,462.24/2,193.33 = 422.20/x
  3. Step 3: Cross multiply
    1,462.24x = 2,193.33 × 422.20
  4. Step 4: Simplify right side
    1,462.24x = 926,023.93
  5. Step 5: Solve for x
    x = 926,023.93/1,462.24
  6. Step 6: Final answer
    x = 633.29

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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.