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Finding the Fourth Proportional to 800.39, 1,193.57 and 793.09

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Solution

The fourth proportional to 800.39, 1,193.57 and 793.09 is: 1,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,193.57 = 793.09 : x
  2. Step 2: Convert to fraction form
    800.39/1,193.57 = 793.09/x
  3. Step 3: Cross multiply
    800.39x = 1,193.57 × 793.09
  4. Step 4: Simplify right side
    800.39x = 946,604.47
  5. Step 5: Solve for x
    x = 946,604.47/800.39
  6. Step 6: Final answer
    x = 1,182.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.