Home / 1,218.81-1,828.25-397.18

Finding the Fourth Proportional to 1,218.81, 1,828.25 and 397.18

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Solution

The fourth proportional to 1,218.81, 1,828.25 and 397.18 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.81 : 1,828.25 = 397.18 : x
  2. Step 2: Convert to fraction form
    1,218.81/1,828.25 = 397.18/x
  3. Step 3: Cross multiply
    1,218.81x = 1,828.25 × 397.18
  4. Step 4: Simplify right side
    1,218.81x = 726,144.34
  5. Step 5: Solve for x
    x = 726,144.34/1,218.81
  6. Step 6: Final answer
    x = 595.78

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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.