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Finding the Fourth Proportional to 819.42, 1,133.72 and 694.68

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Solution

The fourth proportional to 819.42, 1,133.72 and 694.68 is: 961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.42 : 1,133.72 = 694.68 : x
  2. Step 2: Convert to fraction form
    819.42/1,133.72 = 694.68/x
  3. Step 3: Cross multiply
    819.42x = 1,133.72 × 694.68
  4. Step 4: Simplify right side
    819.42x = 787,572.61
  5. Step 5: Solve for x
    x = 787,572.61/819.42
  6. Step 6: Final answer
    x = 961.13

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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.