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Finding the Fourth Proportional to 741.25, 1,022.61 and 426.43

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Solution

The fourth proportional to 741.25, 1,022.61 and 426.43 is: 588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.25 : 1,022.61 = 426.43 : x
  2. Step 2: Convert to fraction form
    741.25/1,022.61 = 426.43/x
  3. Step 3: Cross multiply
    741.25x = 1,022.61 × 426.43
  4. Step 4: Simplify right side
    741.25x = 436,071.58
  5. Step 5: Solve for x
    x = 436,071.58/741.25
  6. Step 6: Final answer
    x = 588.29

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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.