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Finding the Fourth Proportional to 960.23, 1,440.48 and 344.11

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Solution

The fourth proportional to 960.23, 1,440.48 and 344.11 is: 516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.23 : 1,440.48 = 344.11 : x
  2. Step 2: Convert to fraction form
    960.23/1,440.48 = 344.11/x
  3. Step 3: Cross multiply
    960.23x = 1,440.48 × 344.11
  4. Step 4: Simplify right side
    960.23x = 495,679.97
  5. Step 5: Solve for x
    x = 495,679.97/960.23
  6. Step 6: Final answer
    x = 516.21

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Double scale
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1.5x scale

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.