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Finding the Fourth Proportional to 960.26, 1,440.82 and 571.03

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Solution

The fourth proportional to 960.26, 1,440.82 and 571.03 is: 856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.26 : 1,440.82 = 571.03 : x
  2. Step 2: Convert to fraction form
    960.26/1,440.82 = 571.03/x
  3. Step 3: Cross multiply
    960.26x = 1,440.82 × 571.03
  4. Step 4: Simplify right side
    960.26x = 822,751.44
  5. Step 5: Solve for x
    x = 822,751.44/960.26
  6. Step 6: Final answer
    x = 856.80

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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.