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Finding the Fourth Proportional to 696.38, 961.17 and 416.78

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Solution

The fourth proportional to 696.38, 961.17 and 416.78 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.38 : 961.17 = 416.78 : x
  2. Step 2: Convert to fraction form
    696.38/961.17 = 416.78/x
  3. Step 3: Cross multiply
    696.38x = 961.17 × 416.78
  4. Step 4: Simplify right side
    696.38x = 400,594.35
  5. Step 5: Solve for x
    x = 400,594.35/696.38
  6. Step 6: Final answer
    x = 575.25

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Double scale
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1.5x scale

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.