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Finding the Fourth Proportional to 960.49, 1,440.23 and 343.86

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Solution

The fourth proportional to 960.49, 1,440.23 and 343.86 is: 515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.49 : 1,440.23 = 343.86 : x
  2. Step 2: Convert to fraction form
    960.49/1,440.23 = 343.86/x
  3. Step 3: Cross multiply
    960.49x = 1,440.23 × 343.86
  4. Step 4: Simplify right side
    960.49x = 495,230.37
  5. Step 5: Solve for x
    x = 495,230.37/960.49
  6. Step 6: Final answer
    x = 515.60

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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.