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Finding the Fourth Proportional to 736.82, 1,016.81 and 422.07

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Solution

The fourth proportional to 736.82, 1,016.81 and 422.07 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.82 : 1,016.81 = 422.07 : x
  2. Step 2: Convert to fraction form
    736.82/1,016.81 = 422.07/x
  3. Step 3: Cross multiply
    736.82x = 1,016.81 × 422.07
  4. Step 4: Simplify right side
    736.82x = 429,157.80
  5. Step 5: Solve for x
    x = 429,157.80/736.82
  6. Step 6: Final answer
    x = 582.45

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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.