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Finding the Fourth Proportional to 960.30, 1,440.45 and 343.80

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Solution

The fourth proportional to 960.30, 1,440.45 and 343.80 is: 515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,440.45 = 343.80 : x
  2. Step 2: Convert to fraction form
    960.30/1,440.45 = 343.80/x
  3. Step 3: Cross multiply
    960.30x = 1,440.45 × 343.80
  4. Step 4: Simplify right side
    960.30x = 495,226.71
  5. Step 5: Solve for x
    x = 495,226.71/960.30
  6. Step 6: Final answer
    x = 515.70

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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.