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Finding the Fourth Proportional to 793.02, 1,186.94 and 764.48

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Solution

The fourth proportional to 793.02, 1,186.94 and 764.48 is: 1,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,186.94 = 764.48 : x
  2. Step 2: Convert to fraction form
    793.02/1,186.94 = 764.48/x
  3. Step 3: Cross multiply
    793.02x = 1,186.94 × 764.48
  4. Step 4: Simplify right side
    793.02x = 907,391.89
  5. Step 5: Solve for x
    x = 907,391.89/793.02
  6. Step 6: Final answer
    x = 1,144.22

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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.