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Finding the Fourth Proportional to 961.83, 1,326.56 and 696.31

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Solution

The fourth proportional to 961.83, 1,326.56 and 696.31 is: 960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.83 : 1,326.56 = 696.31 : x
  2. Step 2: Convert to fraction form
    961.83/1,326.56 = 696.31/x
  3. Step 3: Cross multiply
    961.83x = 1,326.56 × 696.31
  4. Step 4: Simplify right side
    961.83x = 923,694.63
  5. Step 5: Solve for x
    x = 923,694.63/961.83
  6. Step 6: Final answer
    x = 960.35

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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.