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Finding the Fourth Proportional to 960.78, 1,327.62 and 829.56

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Solution

The fourth proportional to 960.78, 1,327.62 and 829.56 is: 1,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,327.62 = 829.56 : x
  2. Step 2: Convert to fraction form
    960.78/1,327.62 = 829.56/x
  3. Step 3: Cross multiply
    960.78x = 1,327.62 × 829.56
  4. Step 4: Simplify right side
    960.78x = 1,101,348.54
  5. Step 5: Solve for x
    x = 1,101,348.54/960.78
  6. Step 6: Final answer
    x = 1,146.30

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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.