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Finding the Fourth Proportional to 960.49, 1,440.71 and 311.22

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Solution

The fourth proportional to 960.49, 1,440.71 and 311.22 is: 466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.49 : 1,440.71 = 311.22 : x
  2. Step 2: Convert to fraction form
    960.49/1,440.71 = 311.22/x
  3. Step 3: Cross multiply
    960.49x = 1,440.71 × 311.22
  4. Step 4: Simplify right side
    960.49x = 448,377.77
  5. Step 5: Solve for x
    x = 448,377.77/960.49
  6. Step 6: Final answer
    x = 466.82

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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.