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Finding the Fourth Proportional to 813.78, 1,220.57 and 265.97

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Solution

The fourth proportional to 813.78, 1,220.57 and 265.97 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.78 : 1,220.57 = 265.97 : x
  2. Step 2: Convert to fraction form
    813.78/1,220.57 = 265.97/x
  3. Step 3: Cross multiply
    813.78x = 1,220.57 × 265.97
  4. Step 4: Simplify right side
    813.78x = 324,627.57
  5. Step 5: Solve for x
    x = 324,627.57/813.78
  6. Step 6: Final answer
    x = 398.91

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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.