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Finding the Fourth Proportional to 723.92, 996.68 and 620.24

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Solution

The fourth proportional to 723.92, 996.68 and 620.24 is: 853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 996.68 = 620.24 : x
  2. Step 2: Convert to fraction form
    723.92/996.68 = 620.24/x
  3. Step 3: Cross multiply
    723.92x = 996.68 × 620.24
  4. Step 4: Simplify right side
    723.92x = 618,180.80
  5. Step 5: Solve for x
    x = 618,180.80/723.92
  6. Step 6: Final answer
    x = 853.94

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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.