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Finding the Fourth Proportional to 769.39, 1,155.11 and 423.95

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Solution

The fourth proportional to 769.39, 1,155.11 and 423.95 is: 636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.39 : 1,155.11 = 423.95 : x
  2. Step 2: Convert to fraction form
    769.39/1,155.11 = 423.95/x
  3. Step 3: Cross multiply
    769.39x = 1,155.11 × 423.95
  4. Step 4: Simplify right side
    769.39x = 489,700.99
  5. Step 5: Solve for x
    x = 489,700.99/769.39
  6. Step 6: Final answer
    x = 636.48

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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.