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Finding the Fourth Proportional to 701.96, 968.67 and 422.03

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Solution

The fourth proportional to 701.96, 968.67 and 422.03 is: 582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.96 : 968.67 = 422.03 : x
  2. Step 2: Convert to fraction form
    701.96/968.67 = 422.03/x
  3. Step 3: Cross multiply
    701.96x = 968.67 × 422.03
  4. Step 4: Simplify right side
    701.96x = 408,810.22
  5. Step 5: Solve for x
    x = 408,810.22/701.96
  6. Step 6: Final answer
    x = 582.39

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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.