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Finding the Fourth Proportional to 819.78, 1,131.74 and 632.85

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Solution

The fourth proportional to 819.78, 1,131.74 and 632.85 is: 873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.78 : 1,131.74 = 632.85 : x
  2. Step 2: Convert to fraction form
    819.78/1,131.74 = 632.85/x
  3. Step 3: Cross multiply
    819.78x = 1,131.74 × 632.85
  4. Step 4: Simplify right side
    819.78x = 716,221.66
  5. Step 5: Solve for x
    x = 716,221.66/819.78
  6. Step 6: Final answer
    x = 873.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.