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Finding the Fourth Proportional to 736.87, 1,016.96 and 422.23

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Solution

The fourth proportional to 736.87, 1,016.96 and 422.23 is: 582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.87 : 1,016.96 = 422.23 : x
  2. Step 2: Convert to fraction form
    736.87/1,016.96 = 422.23/x
  3. Step 3: Cross multiply
    736.87x = 1,016.96 × 422.23
  4. Step 4: Simplify right side
    736.87x = 429,393.09
  5. Step 5: Solve for x
    x = 429,393.09/736.87
  6. Step 6: Final answer
    x = 582.73

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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.