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Finding the Fourth Proportional to 1,218.97, 1,828.49 and 397.25

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Solution

The fourth proportional to 1,218.97, 1,828.49 and 397.25 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.97 : 1,828.49 = 397.25 : x
  2. Step 2: Convert to fraction form
    1,218.97/1,828.49 = 397.25/x
  3. Step 3: Cross multiply
    1,218.97x = 1,828.49 × 397.25
  4. Step 4: Simplify right side
    1,218.97x = 726,367.65
  5. Step 5: Solve for x
    x = 726,367.65/1,218.97
  6. Step 6: Final answer
    x = 595.89

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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.