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Finding the Fourth Proportional to 960.62, 1,325.57 and 541.13

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Solution

The fourth proportional to 960.62, 1,325.57 and 541.13 is: 746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.62 : 1,325.57 = 541.13 : x
  2. Step 2: Convert to fraction form
    960.62/1,325.57 = 541.13/x
  3. Step 3: Cross multiply
    960.62x = 1,325.57 × 541.13
  4. Step 4: Simplify right side
    960.62x = 717,296.36
  5. Step 5: Solve for x
    x = 717,296.36/960.62
  6. Step 6: Final answer
    x = 746.71

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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.