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Finding the Fourth Proportional to 960.24, 1,440.38 and 343.99

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Solution

The fourth proportional to 960.24, 1,440.38 and 343.99 is: 515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,440.38 = 343.99 : x
  2. Step 2: Convert to fraction form
    960.24/1,440.38 = 343.99/x
  3. Step 3: Cross multiply
    960.24x = 1,440.38 × 343.99
  4. Step 4: Simplify right side
    960.24x = 495,469.11
  5. Step 5: Solve for x
    x = 495,469.11/960.24
  6. Step 6: Final answer
    x = 515.99

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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.