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Finding the Fourth Proportional to 960.16, 1,447.34 and 878.16

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Solution

The fourth proportional to 960.16, 1,447.34 and 878.16 is: 1,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.16 : 1,447.34 = 878.16 : x
  2. Step 2: Convert to fraction form
    960.16/1,447.34 = 878.16/x
  3. Step 3: Cross multiply
    960.16x = 1,447.34 × 878.16
  4. Step 4: Simplify right side
    960.16x = 1,270,996.09
  5. Step 5: Solve for x
    x = 1,270,996.09/960.16
  6. Step 6: Final answer
    x = 1,323.73

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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.