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Finding the Fourth Proportional to 722.97, 997.92 and 537.03

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Solution

The fourth proportional to 722.97, 997.92 and 537.03 is: 741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.97 : 997.92 = 537.03 : x
  2. Step 2: Convert to fraction form
    722.97/997.92 = 537.03/x
  3. Step 3: Cross multiply
    722.97x = 997.92 × 537.03
  4. Step 4: Simplify right side
    722.97x = 535,912.98
  5. Step 5: Solve for x
    x = 535,912.98/722.97
  6. Step 6: Final answer
    x = 741.27

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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.