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Finding the Fourth Proportional to 696.87, 961.88 and 402.26

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Solution

The fourth proportional to 696.87, 961.88 and 402.26 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.87 : 961.88 = 402.26 : x
  2. Step 2: Convert to fraction form
    696.87/961.88 = 402.26/x
  3. Step 3: Cross multiply
    696.87x = 961.88 × 402.26
  4. Step 4: Simplify right side
    696.87x = 386,919.03
  5. Step 5: Solve for x
    x = 386,919.03/696.87
  6. Step 6: Final answer
    x = 555.22

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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.