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Finding the Fourth Proportional to 754.23, 1,040.00 and 723.99

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Solution

The fourth proportional to 754.23, 1,040.00 and 723.99 is: 998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.23 : 1,040.00 = 723.99 : x
  2. Step 2: Convert to fraction form
    754.23/1,040.00 = 723.99/x
  3. Step 3: Cross multiply
    754.23x = 1,040.00 × 723.99
  4. Step 4: Simplify right side
    754.23x = 752,945.98
  5. Step 5: Solve for x
    x = 752,945.98/754.23
  6. Step 6: Final answer
    x = 998.30

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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.