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Finding the Fourth Proportional to 701.98, 968.70 and 422.05

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Solution

The fourth proportional to 701.98, 968.70 and 422.05 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 968.70 = 422.05 : x
  2. Step 2: Convert to fraction form
    701.98/968.70 = 422.05/x
  3. Step 3: Cross multiply
    701.98x = 968.70 × 422.05
  4. Step 4: Simplify right side
    701.98x = 408,839.84
  5. Step 5: Solve for x
    x = 408,839.84/701.98
  6. Step 6: Final answer
    x = 582.41

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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.