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Finding the Fourth Proportional to 960.43, 1,325.42 and 540.86

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Solution

The fourth proportional to 960.43, 1,325.42 and 540.86 is: 746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.43 : 1,325.42 = 540.86 : x
  2. Step 2: Convert to fraction form
    960.43/1,325.42 = 540.86/x
  3. Step 3: Cross multiply
    960.43x = 1,325.42 × 540.86
  4. Step 4: Simplify right side
    960.43x = 716,866.66
  5. Step 5: Solve for x
    x = 716,866.66/960.43
  6. Step 6: Final answer
    x = 746.41

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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.