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Finding the Fourth Proportional to 960.89, 1,441.78 and 571.66

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Solution

The fourth proportional to 960.89, 1,441.78 and 571.66 is: 857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.89 : 1,441.78 = 571.66 : x
  2. Step 2: Convert to fraction form
    960.89/1,441.78 = 571.66/x
  3. Step 3: Cross multiply
    960.89x = 1,441.78 × 571.66
  4. Step 4: Simplify right side
    960.89x = 824,202.92
  5. Step 5: Solve for x
    x = 824,202.92/960.89
  6. Step 6: Final answer
    x = 857.75

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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.