Home / 1,161.36-1,742.28-381.42

Finding the Fourth Proportional to 1,161.36, 1,742.28 and 381.42

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Solution

The fourth proportional to 1,161.36, 1,742.28 and 381.42 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.36 : 1,742.28 = 381.42 : x
  2. Step 2: Convert to fraction form
    1,161.36/1,742.28 = 381.42/x
  3. Step 3: Cross multiply
    1,161.36x = 1,742.28 × 381.42
  4. Step 4: Simplify right side
    1,161.36x = 664,540.44
  5. Step 5: Solve for x
    x = 664,540.44/1,161.36
  6. Step 6: Final answer
    x = 572.21

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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.