Home / 1,462.13-2,193.14-422.15

Finding the Fourth Proportional to 1,462.13, 2,193.14 and 422.15

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Solution

The fourth proportional to 1,462.13, 2,193.14 and 422.15 is: 633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.13 : 2,193.14 = 422.15 : x
  2. Step 2: Convert to fraction form
    1,462.13/2,193.14 = 422.15/x
  3. Step 3: Cross multiply
    1,462.13x = 2,193.14 × 422.15
  4. Step 4: Simplify right side
    1,462.13x = 925,840.59
  5. Step 5: Solve for x
    x = 925,840.59/1,462.13
  6. Step 6: Final answer
    x = 633.22

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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.