Home / 1,162.19-1,742.96-329.20

Finding the Fourth Proportional to 1,162.19, 1,742.96 and 329.20

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Solution

The fourth proportional to 1,162.19, 1,742.96 and 329.20 is: 493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.19 : 1,742.96 = 329.20 : x
  2. Step 2: Convert to fraction form
    1,162.19/1,742.96 = 329.20/x
  3. Step 3: Cross multiply
    1,162.19x = 1,742.96 × 329.20
  4. Step 4: Simplify right side
    1,162.19x = 573,782.43
  5. Step 5: Solve for x
    x = 573,782.43/1,162.19
  6. Step 6: Final answer
    x = 493.71

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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.