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Finding the Fourth Proportional to 722.54, 996.98 and 423.80

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Solution

The fourth proportional to 722.54, 996.98 and 423.80 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 996.98 = 423.80 : x
  2. Step 2: Convert to fraction form
    722.54/996.98 = 423.80/x
  3. Step 3: Cross multiply
    722.54x = 996.98 × 423.80
  4. Step 4: Simplify right side
    722.54x = 422,520.12
  5. Step 5: Solve for x
    x = 422,520.12/722.54
  6. Step 6: Final answer
    x = 584.77

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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.