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Finding the Fourth Proportional to 724.31, 998.88 and 475.54

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Solution

The fourth proportional to 724.31, 998.88 and 475.54 is: 655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.31 : 998.88 = 475.54 : x
  2. Step 2: Convert to fraction form
    724.31/998.88 = 475.54/x
  3. Step 3: Cross multiply
    724.31x = 998.88 × 475.54
  4. Step 4: Simplify right side
    724.31x = 475,007.40
  5. Step 5: Solve for x
    x = 475,007.40/724.31
  6. Step 6: Final answer
    x = 655.81

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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.