Home / 1,219.20-1,828.80-397.56

Finding the Fourth Proportional to 1,219.20, 1,828.80 and 397.56

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Solution

The fourth proportional to 1,219.20, 1,828.80 and 397.56 is: 596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.20 : 1,828.80 = 397.56 : x
  2. Step 2: Convert to fraction form
    1,219.20/1,828.80 = 397.56/x
  3. Step 3: Cross multiply
    1,219.20x = 1,828.80 × 397.56
  4. Step 4: Simplify right side
    1,219.20x = 727,057.73
  5. Step 5: Solve for x
    x = 727,057.73/1,219.20
  6. Step 6: Final answer
    x = 596.34

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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.