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Finding the Fourth Proportional to 724.89, 999.71 and 584.97

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Solution

The fourth proportional to 724.89, 999.71 and 584.97 is: 806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.89 : 999.71 = 584.97 : x
  2. Step 2: Convert to fraction form
    724.89/999.71 = 584.97/x
  3. Step 3: Cross multiply
    724.89x = 999.71 × 584.97
  4. Step 4: Simplify right side
    724.89x = 584,795.88
  5. Step 5: Solve for x
    x = 584,795.88/724.89
  6. Step 6: Final answer
    x = 806.73

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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.