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Finding the Fourth Proportional to 724.26, 998.64 and 685.32

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Solution

The fourth proportional to 724.26, 998.64 and 685.32 is: 944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 998.64 = 685.32 : x
  2. Step 2: Convert to fraction form
    724.26/998.64 = 685.32/x
  3. Step 3: Cross multiply
    724.26x = 998.64 × 685.32
  4. Step 4: Simplify right side
    724.26x = 684,387.96
  5. Step 5: Solve for x
    x = 684,387.96/724.26
  6. Step 6: Final answer
    x = 944.95

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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.