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Finding the Fourth Proportional to 696.58, 961.71 and 448.33

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Solution

The fourth proportional to 696.58, 961.71 and 448.33 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.58 : 961.71 = 448.33 : x
  2. Step 2: Convert to fraction form
    696.58/961.71 = 448.33/x
  3. Step 3: Cross multiply
    696.58x = 961.71 × 448.33
  4. Step 4: Simplify right side
    696.58x = 431,163.92
  5. Step 5: Solve for x
    x = 431,163.92/696.58
  6. Step 6: Final answer
    x = 618.97

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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.