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Finding the Fourth Proportional to 741.97, 1,023.96 and 410.43

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Solution

The fourth proportional to 741.97, 1,023.96 and 410.43 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.97 : 1,023.96 = 410.43 : x
  2. Step 2: Convert to fraction form
    741.97/1,023.96 = 410.43/x
  3. Step 3: Cross multiply
    741.97x = 1,023.96 × 410.43
  4. Step 4: Simplify right side
    741.97x = 420,256.73
  5. Step 5: Solve for x
    x = 420,256.73/741.97
  6. Step 6: Final answer
    x = 566.41

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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.