Home / 1,220.24-1,829.24-398.09

Finding the Fourth Proportional to 1,220.24, 1,829.24 and 398.09

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Solution

The fourth proportional to 1,220.24, 1,829.24 and 398.09 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.24 : 1,829.24 = 398.09 : x
  2. Step 2: Convert to fraction form
    1,220.24/1,829.24 = 398.09/x
  3. Step 3: Cross multiply
    1,220.24x = 1,829.24 × 398.09
  4. Step 4: Simplify right side
    1,220.24x = 728,204.73
  5. Step 5: Solve for x
    x = 728,204.73/1,220.24
  6. Step 6: Final answer
    x = 596.77

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1.5x scale

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.