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Finding the Fourth Proportional to 960.41, 1,440.87 and 302.31

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Solution

The fourth proportional to 960.41, 1,440.87 and 302.31 is: 453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.41 : 1,440.87 = 302.31 : x
  2. Step 2: Convert to fraction form
    960.41/1,440.87 = 302.31/x
  3. Step 3: Cross multiply
    960.41x = 1,440.87 × 302.31
  4. Step 4: Simplify right side
    960.41x = 435,584.33
  5. Step 5: Solve for x
    x = 435,584.33/960.41
  6. Step 6: Final answer
    x = 453.54

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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.