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Finding the Fourth Proportional to 696.94, 961.71 and 417.25

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Solution

The fourth proportional to 696.94, 961.71 and 417.25 is: 575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 961.71 = 417.25 : x
  2. Step 2: Convert to fraction form
    696.94/961.71 = 417.25/x
  3. Step 3: Cross multiply
    696.94x = 961.71 × 417.25
  4. Step 4: Simplify right side
    696.94x = 401,273.50
  5. Step 5: Solve for x
    x = 401,273.50/696.94
  6. Step 6: Final answer
    x = 575.76

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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.