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Finding the Fourth Proportional to 1,121.75, 1,685.18 and 793.43

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Solution

The fourth proportional to 1,121.75, 1,685.18 and 793.43 is: 1,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.75 : 1,685.18 = 793.43 : x
  2. Step 2: Convert to fraction form
    1,121.75/1,685.18 = 793.43/x
  3. Step 3: Cross multiply
    1,121.75x = 1,685.18 × 793.43
  4. Step 4: Simplify right side
    1,121.75x = 1,337,072.37
  5. Step 5: Solve for x
    x = 1,337,072.37/1,121.75
  6. Step 6: Final answer
    x = 1,191.95

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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.