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Finding the Fourth Proportional to 818.62, 1,226.19 and 380.23

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Solution

The fourth proportional to 818.62, 1,226.19 and 380.23 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.62 : 1,226.19 = 380.23 : x
  2. Step 2: Convert to fraction form
    818.62/1,226.19 = 380.23/x
  3. Step 3: Cross multiply
    818.62x = 1,226.19 × 380.23
  4. Step 4: Simplify right side
    818.62x = 466,234.22
  5. Step 5: Solve for x
    x = 466,234.22/818.62
  6. Step 6: Final answer
    x = 569.54

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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.