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Finding the Fourth Proportional to 696.55, 961.19 and 416.91

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Solution

The fourth proportional to 696.55, 961.19 and 416.91 is: 575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.55 : 961.19 = 416.91 : x
  2. Step 2: Convert to fraction form
    696.55/961.19 = 416.91/x
  3. Step 3: Cross multiply
    696.55x = 961.19 × 416.91
  4. Step 4: Simplify right side
    696.55x = 400,729.72
  5. Step 5: Solve for x
    x = 400,729.72/696.55
  6. Step 6: Final answer
    x = 575.31

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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.