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Finding the Fourth Proportional to 960.56, 1,441.24 and 613.78

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Solution

The fourth proportional to 960.56, 1,441.24 and 613.78 is: 920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.56 : 1,441.24 = 613.78 : x
  2. Step 2: Convert to fraction form
    960.56/1,441.24 = 613.78/x
  3. Step 3: Cross multiply
    960.56x = 1,441.24 × 613.78
  4. Step 4: Simplify right side
    960.56x = 884,602.60
  5. Step 5: Solve for x
    x = 884,602.60/960.56
  6. Step 6: Final answer
    x = 920.93

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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.