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Finding the Fourth Proportional to 960.32, 1,324.10 and 819.99

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Solution

The fourth proportional to 960.32, 1,324.10 and 819.99 is: 1,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.32 : 1,324.10 = 819.99 : x
  2. Step 2: Convert to fraction form
    960.32/1,324.10 = 819.99/x
  3. Step 3: Cross multiply
    960.32x = 1,324.10 × 819.99
  4. Step 4: Simplify right side
    960.32x = 1,085,744.66
  5. Step 5: Solve for x
    x = 1,085,744.66/960.32
  6. Step 6: Final answer
    x = 1,130.61

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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.