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Finding the Fourth Proportional to 960.94, 1,325.80 and 541.23

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Solution

The fourth proportional to 960.94, 1,325.80 and 541.23 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.94 : 1,325.80 = 541.23 : x
  2. Step 2: Convert to fraction form
    960.94/1,325.80 = 541.23/x
  3. Step 3: Cross multiply
    960.94x = 1,325.80 × 541.23
  4. Step 4: Simplify right side
    960.94x = 717,562.73
  5. Step 5: Solve for x
    x = 717,562.73/960.94
  6. Step 6: Final answer
    x = 746.73

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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.