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Finding the Fourth Proportional to 819.50, 1,136.71 and 789.95

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Solution

The fourth proportional to 819.50, 1,136.71 and 789.95 is: 1,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.50 : 1,136.71 = 789.95 : x
  2. Step 2: Convert to fraction form
    819.50/1,136.71 = 789.95/x
  3. Step 3: Cross multiply
    819.50x = 1,136.71 × 789.95
  4. Step 4: Simplify right side
    819.50x = 897,941.36
  5. Step 5: Solve for x
    x = 897,941.36/819.50
  6. Step 6: Final answer
    x = 1,095.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.