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Finding the Fourth Proportional to 724, 998.71 and 444.37

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Solution

The fourth proportional to 724, 998.71 and 444.37 is: 612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724 : 998.71 = 444.37 : x
  2. Step 2: Convert to fraction form
    724/998.71 = 444.37/x
  3. Step 3: Cross multiply
    724x = 998.71 × 444.37
  4. Step 4: Simplify right side
    724x = 443,796.76
  5. Step 5: Solve for x
    x = 443,796.76/724
  6. Step 6: Final answer
    x = 612.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.