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Finding the Fourth Proportional to 724.44, 994.49 and 706.32

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Solution

The fourth proportional to 724.44, 994.49 and 706.32 is: 969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 994.49 = 706.32 : x
  2. Step 2: Convert to fraction form
    724.44/994.49 = 706.32/x
  3. Step 3: Cross multiply
    724.44x = 994.49 × 706.32
  4. Step 4: Simplify right side
    724.44x = 702,424.65
  5. Step 5: Solve for x
    x = 702,424.65/724.44
  6. Step 6: Final answer
    x = 969.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.