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Finding the Fourth Proportional to 879.14, 1,317.60 and 769.19

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Solution

The fourth proportional to 879.14, 1,317.60 and 769.19 is: 1,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.14 : 1,317.60 = 769.19 : x
  2. Step 2: Convert to fraction form
    879.14/1,317.60 = 769.19/x
  3. Step 3: Cross multiply
    879.14x = 1,317.60 × 769.19
  4. Step 4: Simplify right side
    879.14x = 1,013,481.86
  5. Step 5: Solve for x
    x = 1,013,481.86/879.14
  6. Step 6: Final answer
    x = 1,152.81

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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.