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Finding the Fourth Proportional to 724.47, 997.23 and 641.43

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Solution

The fourth proportional to 724.47, 997.23 and 641.43 is: 882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.47 : 997.23 = 641.43 : x
  2. Step 2: Convert to fraction form
    724.47/997.23 = 641.43/x
  3. Step 3: Cross multiply
    724.47x = 997.23 × 641.43
  4. Step 4: Simplify right side
    724.47x = 639,653.24
  5. Step 5: Solve for x
    x = 639,653.24/724.47
  6. Step 6: Final answer
    x = 882.93

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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.