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Finding the Fourth Proportional to 960.53, 1,322.06 and 820.17

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Solution

The fourth proportional to 960.53, 1,322.06 and 820.17 is: 1,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.53 : 1,322.06 = 820.17 : x
  2. Step 2: Convert to fraction form
    960.53/1,322.06 = 820.17/x
  3. Step 3: Cross multiply
    960.53x = 1,322.06 × 820.17
  4. Step 4: Simplify right side
    960.53x = 1,084,309.85
  5. Step 5: Solve for x
    x = 1,084,309.85/960.53
  6. Step 6: Final answer
    x = 1,128.87

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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.