Home / 1,219.17-1,828.86-397.43

Finding the Fourth Proportional to 1,219.17, 1,828.86 and 397.43

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Solution

The fourth proportional to 1,219.17, 1,828.86 and 397.43 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.17 : 1,828.86 = 397.43 : x
  2. Step 2: Convert to fraction form
    1,219.17/1,828.86 = 397.43/x
  3. Step 3: Cross multiply
    1,219.17x = 1,828.86 × 397.43
  4. Step 4: Simplify right side
    1,219.17x = 726,832.70
  5. Step 5: Solve for x
    x = 726,832.70/1,219.17
  6. Step 6: Final answer
    x = 596.17

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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.