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Finding the Fourth Proportional to 696.69, 961.36 and 416.86

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Solution

The fourth proportional to 696.69, 961.36 and 416.86 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.69 : 961.36 = 416.86 : x
  2. Step 2: Convert to fraction form
    696.69/961.36 = 416.86/x
  3. Step 3: Cross multiply
    696.69x = 961.36 × 416.86
  4. Step 4: Simplify right side
    696.69x = 400,753.89
  5. Step 5: Solve for x
    x = 400,753.89/696.69
  6. Step 6: Final answer
    x = 575.23

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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.