Home / 1,218.94-1,828.19-329.49

Finding the Fourth Proportional to 1,218.94, 1,828.19 and 329.49

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Solution

The fourth proportional to 1,218.94, 1,828.19 and 329.49 is: 494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.94 : 1,828.19 = 329.49 : x
  2. Step 2: Convert to fraction form
    1,218.94/1,828.19 = 329.49/x
  3. Step 3: Cross multiply
    1,218.94x = 1,828.19 × 329.49
  4. Step 4: Simplify right side
    1,218.94x = 602,359.53
  5. Step 5: Solve for x
    x = 602,359.53/1,218.94
  6. Step 6: Final answer
    x = 494.17

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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.