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Finding the Fourth Proportional to 741.26, 1,022.90 and 422.26

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Solution

The fourth proportional to 741.26, 1,022.90 and 422.26 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,022.90 = 422.26 : x
  2. Step 2: Convert to fraction form
    741.26/1,022.90 = 422.26/x
  3. Step 3: Cross multiply
    741.26x = 1,022.90 × 422.26
  4. Step 4: Simplify right side
    741.26x = 431,928.25
  5. Step 5: Solve for x
    x = 431,928.25/741.26
  6. Step 6: Final answer
    x = 582.69

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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.