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Finding the Fourth Proportional to 741.25, 1,023.27 and 528.73

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Solution

The fourth proportional to 741.25, 1,023.27 and 528.73 is: 729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.25 : 1,023.27 = 528.73 : x
  2. Step 2: Convert to fraction form
    741.25/1,023.27 = 528.73/x
  3. Step 3: Cross multiply
    741.25x = 1,023.27 × 528.73
  4. Step 4: Simplify right side
    741.25x = 541,029.01
  5. Step 5: Solve for x
    x = 541,029.01/741.25
  6. Step 6: Final answer
    x = 729.89

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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.