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Finding the Fourth Proportional to 722.57, 996.30 and 506.43

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Solution

The fourth proportional to 722.57, 996.30 and 506.43 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 996.30 = 506.43 : x
  2. Step 2: Convert to fraction form
    722.57/996.30 = 506.43/x
  3. Step 3: Cross multiply
    722.57x = 996.30 × 506.43
  4. Step 4: Simplify right side
    722.57x = 504,556.21
  5. Step 5: Solve for x
    x = 504,556.21/722.57
  6. Step 6: Final answer
    x = 698.28

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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.