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Finding the Fourth Proportional to 961.22, 1,326.13 and 629.83

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Solution

The fourth proportional to 961.22, 1,326.13 and 629.83 is: 868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.22 : 1,326.13 = 629.83 : x
  2. Step 2: Convert to fraction form
    961.22/1,326.13 = 629.83/x
  3. Step 3: Cross multiply
    961.22x = 1,326.13 × 629.83
  4. Step 4: Simplify right side
    961.22x = 835,236.46
  5. Step 5: Solve for x
    x = 835,236.46/961.22
  6. Step 6: Final answer
    x = 868.93

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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.