Home / 1,219.27-1,828.67-397.58

Finding the Fourth Proportional to 1,219.27, 1,828.67 and 397.58

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Solution

The fourth proportional to 1,219.27, 1,828.67 and 397.58 is: 596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.27 : 1,828.67 = 397.58 : x
  2. Step 2: Convert to fraction form
    1,219.27/1,828.67 = 397.58/x
  3. Step 3: Cross multiply
    1,219.27x = 1,828.67 × 397.58
  4. Step 4: Simplify right side
    1,219.27x = 727,033.48
  5. Step 5: Solve for x
    x = 727,033.48/1,219.27
  6. Step 6: Final answer
    x = 596.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.