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Finding the Fourth Proportional to 723.67, 997.73 and 461.23

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Solution

The fourth proportional to 723.67, 997.73 and 461.23 is: 635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.67 : 997.73 = 461.23 : x
  2. Step 2: Convert to fraction form
    723.67/997.73 = 461.23/x
  3. Step 3: Cross multiply
    723.67x = 997.73 × 461.23
  4. Step 4: Simplify right side
    723.67x = 460,180.70
  5. Step 5: Solve for x
    x = 460,180.70/723.67
  6. Step 6: Final answer
    x = 635.90

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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.