Home / 1,195.23-1,792.80-329.55

Finding the Fourth Proportional to 1,195.23, 1,792.80 and 329.55

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Solution

The fourth proportional to 1,195.23, 1,792.80 and 329.55 is: 494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.23 : 1,792.80 = 329.55 : x
  2. Step 2: Convert to fraction form
    1,195.23/1,792.80 = 329.55/x
  3. Step 3: Cross multiply
    1,195.23x = 1,792.80 × 329.55
  4. Step 4: Simplify right side
    1,195.23x = 590,817.24
  5. Step 5: Solve for x
    x = 590,817.24/1,195.23
  6. Step 6: Final answer
    x = 494.31

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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.