Home / 1,219.13-1,828.89-397.34

Finding the Fourth Proportional to 1,219.13, 1,828.89 and 397.34

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Solution

The fourth proportional to 1,219.13, 1,828.89 and 397.34 is: 596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.13 : 1,828.89 = 397.34 : x
  2. Step 2: Convert to fraction form
    1,219.13/1,828.89 = 397.34/x
  3. Step 3: Cross multiply
    1,219.13x = 1,828.89 × 397.34
  4. Step 4: Simplify right side
    1,219.13x = 726,691.15
  5. Step 5: Solve for x
    x = 726,691.15/1,219.13
  6. Step 6: Final answer
    x = 596.07

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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.