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Finding the Fourth Proportional to 1,218.87, 1,827.16 and 396.57

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Solution

The fourth proportional to 1,218.87, 1,827.16 and 396.57 is: 594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.87 : 1,827.16 = 396.57 : x
  2. Step 2: Convert to fraction form
    1,218.87/1,827.16 = 396.57/x
  3. Step 3: Cross multiply
    1,218.87x = 1,827.16 × 396.57
  4. Step 4: Simplify right side
    1,218.87x = 724,597.56
  5. Step 5: Solve for x
    x = 724,597.56/1,218.87
  6. Step 6: Final answer
    x = 594.48

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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.