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Finding the Fourth Proportional to 819.53, 1,226.33 and 511.55

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Solution

The fourth proportional to 819.53, 1,226.33 and 511.55 is: 765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.53 : 1,226.33 = 511.55 : x
  2. Step 2: Convert to fraction form
    819.53/1,226.33 = 511.55/x
  3. Step 3: Cross multiply
    819.53x = 1,226.33 × 511.55
  4. Step 4: Simplify right side
    819.53x = 627,326.55
  5. Step 5: Solve for x
    x = 627,326.55/819.53
  6. Step 6: Final answer
    x = 765.47

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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.