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Finding the Fourth Proportional to 696.62, 961.98 and 448.38

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Solution

The fourth proportional to 696.62, 961.98 and 448.38 is: 619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 961.98 = 448.38 : x
  2. Step 2: Convert to fraction form
    696.62/961.98 = 448.38/x
  3. Step 3: Cross multiply
    696.62x = 961.98 × 448.38
  4. Step 4: Simplify right side
    696.62x = 431,332.59
  5. Step 5: Solve for x
    x = 431,332.59/696.62
  6. Step 6: Final answer
    x = 619.18

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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.