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Finding the Fourth Proportional to 960.06, 1,324.44 and 610.50

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Solution

The fourth proportional to 960.06, 1,324.44 and 610.50 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.06 : 1,324.44 = 610.50 : x
  2. Step 2: Convert to fraction form
    960.06/1,324.44 = 610.50/x
  3. Step 3: Cross multiply
    960.06x = 1,324.44 × 610.50
  4. Step 4: Simplify right side
    960.06x = 808,570.62
  5. Step 5: Solve for x
    x = 808,570.62/960.06
  6. Step 6: Final answer
    x = 842.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.