Home / 1,161.46-1,742.28-381.16

Finding the Fourth Proportional to 1,161.46, 1,742.28 and 381.16

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Solution

The fourth proportional to 1,161.46, 1,742.28 and 381.16 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.46 : 1,742.28 = 381.16 : x
  2. Step 2: Convert to fraction form
    1,161.46/1,742.28 = 381.16/x
  3. Step 3: Cross multiply
    1,161.46x = 1,742.28 × 381.16
  4. Step 4: Simplify right side
    1,161.46x = 664,087.44
  5. Step 5: Solve for x
    x = 664,087.44/1,161.46
  6. Step 6: Final answer
    x = 571.77

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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.