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Finding the Fourth Proportional to 819.32, 1,227.78 and 646.42

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Solution

The fourth proportional to 819.32, 1,227.78 and 646.42 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.32 : 1,227.78 = 646.42 : x
  2. Step 2: Convert to fraction form
    819.32/1,227.78 = 646.42/x
  3. Step 3: Cross multiply
    819.32x = 1,227.78 × 646.42
  4. Step 4: Simplify right side
    819.32x = 793,661.55
  5. Step 5: Solve for x
    x = 793,661.55/819.32
  6. Step 6: Final answer
    x = 968.68

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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.