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Finding the Fourth Proportional to 722.60, 996.83 and 442.74

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Solution

The fourth proportional to 722.60, 996.83 and 442.74 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.60 : 996.83 = 442.74 : x
  2. Step 2: Convert to fraction form
    722.60/996.83 = 442.74/x
  3. Step 3: Cross multiply
    722.60x = 996.83 × 442.74
  4. Step 4: Simplify right side
    722.60x = 441,334.30
  5. Step 5: Solve for x
    x = 441,334.30/722.60
  6. Step 6: Final answer
    x = 610.76

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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.