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Finding the Fourth Proportional to 696.50, 963.24 and 622.70

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Solution

The fourth proportional to 696.50, 963.24 and 622.70 is: 861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 963.24 = 622.70 : x
  2. Step 2: Convert to fraction form
    696.50/963.24 = 622.70/x
  3. Step 3: Cross multiply
    696.50x = 963.24 × 622.70
  4. Step 4: Simplify right side
    696.50x = 599,809.55
  5. Step 5: Solve for x
    x = 599,809.55/696.50
  6. Step 6: Final answer
    x = 861.18

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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.