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Finding the Fourth Proportional to 1,462.23, 2,193.42 and 422.22

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Solution

The fourth proportional to 1,462.23, 2,193.42 and 422.22 is: 633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.23 : 2,193.42 = 422.22 : x
  2. Step 2: Convert to fraction form
    1,462.23/2,193.42 = 422.22/x
  3. Step 3: Cross multiply
    1,462.23x = 2,193.42 × 422.22
  4. Step 4: Simplify right side
    1,462.23x = 926,105.79
  5. Step 5: Solve for x
    x = 926,105.79/1,462.23
  6. Step 6: Final answer
    x = 633.35

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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.