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Finding the Fourth Proportional to 758.94, 1,046.80 and 696.97

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Solution

The fourth proportional to 758.94, 1,046.80 and 696.97 is: 961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.94 : 1,046.80 = 696.97 : x
  2. Step 2: Convert to fraction form
    758.94/1,046.80 = 696.97/x
  3. Step 3: Cross multiply
    758.94x = 1,046.80 × 696.97
  4. Step 4: Simplify right side
    758.94x = 729,588.20
  5. Step 5: Solve for x
    x = 729,588.20/758.94
  6. Step 6: Final answer
    x = 961.33

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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.