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Finding the Fourth Proportional to 722.44, 997.01 and 411.94

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Solution

The fourth proportional to 722.44, 997.01 and 411.94 is: 568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 997.01 = 411.94 : x
  2. Step 2: Convert to fraction form
    722.44/997.01 = 411.94/x
  3. Step 3: Cross multiply
    722.44x = 997.01 × 411.94
  4. Step 4: Simplify right side
    722.44x = 410,708.30
  5. Step 5: Solve for x
    x = 410,708.30/722.44
  6. Step 6: Final answer
    x = 568.50

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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.