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Finding the Fourth Proportional to 879.53, 1,211.07 and 768.36

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Solution

The fourth proportional to 879.53, 1,211.07 and 768.36 is: 1,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.53 : 1,211.07 = 768.36 : x
  2. Step 2: Convert to fraction form
    879.53/1,211.07 = 768.36/x
  3. Step 3: Cross multiply
    879.53x = 1,211.07 × 768.36
  4. Step 4: Simplify right side
    879.53x = 930,537.75
  5. Step 5: Solve for x
    x = 930,537.75/879.53
  6. Step 6: Final answer
    x = 1,057.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.