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Finding the Fourth Proportional to 960.98, 1,441.46 and 614.48

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Solution

The fourth proportional to 960.98, 1,441.46 and 614.48 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.98 : 1,441.46 = 614.48 : x
  2. Step 2: Convert to fraction form
    960.98/1,441.46 = 614.48/x
  3. Step 3: Cross multiply
    960.98x = 1,441.46 × 614.48
  4. Step 4: Simplify right side
    960.98x = 885,738.06
  5. Step 5: Solve for x
    x = 885,738.06/960.98
  6. Step 6: Final answer
    x = 921.71

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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.