Home / 1,161.76-1,742.85-381.80

Finding the Fourth Proportional to 1,161.76, 1,742.85 and 381.80

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Solution

The fourth proportional to 1,161.76, 1,742.85 and 381.80 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.76 : 1,742.85 = 381.80 : x
  2. Step 2: Convert to fraction form
    1,161.76/1,742.85 = 381.80/x
  3. Step 3: Cross multiply
    1,161.76x = 1,742.85 × 381.80
  4. Step 4: Simplify right side
    1,161.76x = 665,427.62
  5. Step 5: Solve for x
    x = 665,427.62/1,161.76
  6. Step 6: Final answer
    x = 572.78

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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.