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Finding the Fourth Proportional to 960.31, 1,440.77 and 440.54

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Solution

The fourth proportional to 960.31, 1,440.77 and 440.54 is: 660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.31 : 1,440.77 = 440.54 : x
  2. Step 2: Convert to fraction form
    960.31/1,440.77 = 440.54/x
  3. Step 3: Cross multiply
    960.31x = 1,440.77 × 440.54
  4. Step 4: Simplify right side
    960.31x = 634,716.82
  5. Step 5: Solve for x
    x = 634,716.82/960.31
  6. Step 6: Final answer
    x = 660.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.