Home / 1,219.69-1,829.31-330.24

Finding the Fourth Proportional to 1,219.69, 1,829.31 and 330.24

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Solution

The fourth proportional to 1,219.69, 1,829.31 and 330.24 is: 495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.69 : 1,829.31 = 330.24 : x
  2. Step 2: Convert to fraction form
    1,219.69/1,829.31 = 330.24/x
  3. Step 3: Cross multiply
    1,219.69x = 1,829.31 × 330.24
  4. Step 4: Simplify right side
    1,219.69x = 604,111.33
  5. Step 5: Solve for x
    x = 604,111.33/1,219.69
  6. Step 6: Final answer
    x = 495.30

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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.