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Finding the Fourth Proportional to 722.02, 996.31 and 442.33

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Solution

The fourth proportional to 722.02, 996.31 and 442.33 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.02 : 996.31 = 442.33 : x
  2. Step 2: Convert to fraction form
    722.02/996.31 = 442.33/x
  3. Step 3: Cross multiply
    722.02x = 996.31 × 442.33
  4. Step 4: Simplify right side
    722.02x = 440,697.80
  5. Step 5: Solve for x
    x = 440,697.80/722.02
  6. Step 6: Final answer
    x = 610.37

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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.