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Finding the Fourth Proportional to 960.13, 1,322.31 and 892.09

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Solution

The fourth proportional to 960.13, 1,322.31 and 892.09 is: 1,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.13 : 1,322.31 = 892.09 : x
  2. Step 2: Convert to fraction form
    960.13/1,322.31 = 892.09/x
  3. Step 3: Cross multiply
    960.13x = 1,322.31 × 892.09
  4. Step 4: Simplify right side
    960.13x = 1,179,619.53
  5. Step 5: Solve for x
    x = 1,179,619.53/960.13
  6. Step 6: Final answer
    x = 1,228.60

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1.5x scale

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.