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Finding the Fourth Proportional to 773.29, 1,161.56 and 676.09

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Solution

The fourth proportional to 773.29, 1,161.56 and 676.09 is: 1,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.29 : 1,161.56 = 676.09 : x
  2. Step 2: Convert to fraction form
    773.29/1,161.56 = 676.09/x
  3. Step 3: Cross multiply
    773.29x = 1,161.56 × 676.09
  4. Step 4: Simplify right side
    773.29x = 785,319.10
  5. Step 5: Solve for x
    x = 785,319.10/773.29
  6. Step 6: Final answer
    x = 1,015.56

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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.