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Finding the Fourth Proportional to 879.40, 1,324.96 and 796.11

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Solution

The fourth proportional to 879.40, 1,324.96 and 796.11 is: 1,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.40 : 1,324.96 = 796.11 : x
  2. Step 2: Convert to fraction form
    879.40/1,324.96 = 796.11/x
  3. Step 3: Cross multiply
    879.40x = 1,324.96 × 796.11
  4. Step 4: Simplify right side
    879.40x = 1,054,811.92
  5. Step 5: Solve for x
    x = 1,054,811.92/879.40
  6. Step 6: Final answer
    x = 1,199.47

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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.