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Finding the Fourth Proportional to 819.16, 1,227.76 and 379.82

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Solution

The fourth proportional to 819.16, 1,227.76 and 379.82 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.16 : 1,227.76 = 379.82 : x
  2. Step 2: Convert to fraction form
    819.16/1,227.76 = 379.82/x
  3. Step 3: Cross multiply
    819.16x = 1,227.76 × 379.82
  4. Step 4: Simplify right side
    819.16x = 466,320.71
  5. Step 5: Solve for x
    x = 466,320.71/819.16
  6. Step 6: Final answer
    x = 569.27

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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.