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Finding the Fourth Proportional to 960.50, 1,440.48 and 311.15

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Solution

The fourth proportional to 960.50, 1,440.48 and 311.15 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.50 : 1,440.48 = 311.15 : x
  2. Step 2: Convert to fraction form
    960.50/1,440.48 = 311.15/x
  3. Step 3: Cross multiply
    960.50x = 1,440.48 × 311.15
  4. Step 4: Simplify right side
    960.50x = 448,205.35
  5. Step 5: Solve for x
    x = 448,205.35/960.50
  6. Step 6: Final answer
    x = 466.64

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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.