Home / 1,162.13-1,742.82-381.95

Finding the Fourth Proportional to 1,162.13, 1,742.82 and 381.95

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Solution

The fourth proportional to 1,162.13, 1,742.82 and 381.95 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.13 : 1,742.82 = 381.95 : x
  2. Step 2: Convert to fraction form
    1,162.13/1,742.82 = 381.95/x
  3. Step 3: Cross multiply
    1,162.13x = 1,742.82 × 381.95
  4. Step 4: Simplify right side
    1,162.13x = 665,671.05
  5. Step 5: Solve for x
    x = 665,671.05/1,162.13
  6. Step 6: Final answer
    x = 572.80

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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.