Home / 1,218.90-1,828.12-329.42

Finding the Fourth Proportional to 1,218.90, 1,828.12 and 329.42

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Solution

The fourth proportional to 1,218.90, 1,828.12 and 329.42 is: 494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.90 : 1,828.12 = 329.42 : x
  2. Step 2: Convert to fraction form
    1,218.90/1,828.12 = 329.42/x
  3. Step 3: Cross multiply
    1,218.90x = 1,828.12 × 329.42
  4. Step 4: Simplify right side
    1,218.90x = 602,213.37
  5. Step 5: Solve for x
    x = 602,213.37/1,218.90
  6. Step 6: Final answer
    x = 494.06

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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.