Home / 1,219.14-1,828.76-397.42

Finding the Fourth Proportional to 1,219.14, 1,828.76 and 397.42

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Solution

The fourth proportional to 1,219.14, 1,828.76 and 397.42 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.14 : 1,828.76 = 397.42 : x
  2. Step 2: Convert to fraction form
    1,219.14/1,828.76 = 397.42/x
  3. Step 3: Cross multiply
    1,219.14x = 1,828.76 × 397.42
  4. Step 4: Simplify right side
    1,219.14x = 726,791.36
  5. Step 5: Solve for x
    x = 726,791.36/1,219.14
  6. Step 6: Final answer
    x = 596.15

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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.