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Finding the Fourth Proportional to 815.38, 1,222.15 and 404.81

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Solution

The fourth proportional to 815.38, 1,222.15 and 404.81 is: 606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.38 : 1,222.15 = 404.81 : x
  2. Step 2: Convert to fraction form
    815.38/1,222.15 = 404.81/x
  3. Step 3: Cross multiply
    815.38x = 1,222.15 × 404.81
  4. Step 4: Simplify right side
    815.38x = 494,738.54
  5. Step 5: Solve for x
    x = 494,738.54/815.38
  6. Step 6: Final answer
    x = 606.76

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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.