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Finding the Fourth Proportional to 698.62, 961.30 and 682.22

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Solution

The fourth proportional to 698.62, 961.30 and 682.22 is: 938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.62 : 961.30 = 682.22 : x
  2. Step 2: Convert to fraction form
    698.62/961.30 = 682.22/x
  3. Step 3: Cross multiply
    698.62x = 961.30 × 682.22
  4. Step 4: Simplify right side
    698.62x = 655,818.09
  5. Step 5: Solve for x
    x = 655,818.09/698.62
  6. Step 6: Final answer
    x = 938.73

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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.