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Finding the Fourth Proportional to 960.56, 1,322.98 and 829.34

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Solution

The fourth proportional to 960.56, 1,322.98 and 829.34 is: 1,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.56 : 1,322.98 = 829.34 : x
  2. Step 2: Convert to fraction form
    960.56/1,322.98 = 829.34/x
  3. Step 3: Cross multiply
    960.56x = 1,322.98 × 829.34
  4. Step 4: Simplify right side
    960.56x = 1,097,191.54
  5. Step 5: Solve for x
    x = 1,097,191.54/960.56
  6. Step 6: Final answer
    x = 1,142.25

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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.