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Finding the Fourth Proportional to 960.13, 1,322.98 and 749.98

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Solution

The fourth proportional to 960.13, 1,322.98 and 749.98 is: 1,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.13 : 1,322.98 = 749.98 : x
  2. Step 2: Convert to fraction form
    960.13/1,322.98 = 749.98/x
  3. Step 3: Cross multiply
    960.13x = 1,322.98 × 749.98
  4. Step 4: Simplify right side
    960.13x = 992,208.54
  5. Step 5: Solve for x
    x = 992,208.54/960.13
  6. Step 6: Final answer
    x = 1,033.41

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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.