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Finding the Fourth Proportional to 960.78, 1,441.44 and 311.57

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Solution

The fourth proportional to 960.78, 1,441.44 and 311.57 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,441.44 = 311.57 : x
  2. Step 2: Convert to fraction form
    960.78/1,441.44 = 311.57/x
  3. Step 3: Cross multiply
    960.78x = 1,441.44 × 311.57
  4. Step 4: Simplify right side
    960.78x = 449,109.46
  5. Step 5: Solve for x
    x = 449,109.46/960.78
  6. Step 6: Final answer
    x = 467.44

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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.