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Finding the Fourth Proportional to 793.86, 1,196.25 and 756.78

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Solution

The fourth proportional to 793.86, 1,196.25 and 756.78 is: 1,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.86 : 1,196.25 = 756.78 : x
  2. Step 2: Convert to fraction form
    793.86/1,196.25 = 756.78/x
  3. Step 3: Cross multiply
    793.86x = 1,196.25 × 756.78
  4. Step 4: Simplify right side
    793.86x = 905,298.08
  5. Step 5: Solve for x
    x = 905,298.08/793.86
  6. Step 6: Final answer
    x = 1,140.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.