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Finding the Fourth Proportional to 1,218.38, 1,827.82 and 396.68

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Solution

The fourth proportional to 1,218.38, 1,827.82 and 396.68 is: 595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.38 : 1,827.82 = 396.68 : x
  2. Step 2: Convert to fraction form
    1,218.38/1,827.82 = 396.68/x
  3. Step 3: Cross multiply
    1,218.38x = 1,827.82 × 396.68
  4. Step 4: Simplify right side
    1,218.38x = 725,059.64
  5. Step 5: Solve for x
    x = 725,059.64/1,218.38
  6. Step 6: Final answer
    x = 595.10

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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.