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Finding the Fourth Proportional to 723.48, 989.82 and 720.44

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Solution

The fourth proportional to 723.48, 989.82 and 720.44 is: 985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 989.82 = 720.44 : x
  2. Step 2: Convert to fraction form
    723.48/989.82 = 720.44/x
  3. Step 3: Cross multiply
    723.48x = 989.82 × 720.44
  4. Step 4: Simplify right side
    723.48x = 713,105.92
  5. Step 5: Solve for x
    x = 713,105.92/723.48
  6. Step 6: Final answer
    x = 985.66

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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.