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Finding the Fourth Proportional to 1,218.81, 1,827.31 and 396.60

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Solution

The fourth proportional to 1,218.81, 1,827.31 and 396.60 is: 594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.81 : 1,827.31 = 396.60 : x
  2. Step 2: Convert to fraction form
    1,218.81/1,827.31 = 396.60/x
  3. Step 3: Cross multiply
    1,218.81x = 1,827.31 × 396.60
  4. Step 4: Simplify right side
    1,218.81x = 724,711.15
  5. Step 5: Solve for x
    x = 724,711.15/1,218.81
  6. Step 6: Final answer
    x = 594.61

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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.