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Finding the Fourth Proportional to 1,218.96, 1,828.65 and 397.22

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Solution

The fourth proportional to 1,218.96, 1,828.65 and 397.22 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,828.65 = 397.22 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,828.65 = 397.22/x
  3. Step 3: Cross multiply
    1,218.96x = 1,828.65 × 397.22
  4. Step 4: Simplify right side
    1,218.96x = 726,367.21
  5. Step 5: Solve for x
    x = 726,367.21/1,218.96
  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.