Home / 1,108.14-1,661.84-327.95

Finding the Fourth Proportional to 1,108.14, 1,661.84 and 327.95

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Solution

The fourth proportional to 1,108.14, 1,661.84 and 327.95 is: 491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.14 : 1,661.84 = 327.95 : x
  2. Step 2: Convert to fraction form
    1,108.14/1,661.84 = 327.95/x
  3. Step 3: Cross multiply
    1,108.14x = 1,661.84 × 327.95
  4. Step 4: Simplify right side
    1,108.14x = 544,990.48
  5. Step 5: Solve for x
    x = 544,990.48/1,108.14
  6. Step 6: Final answer
    x = 491.81

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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.