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Finding the Fourth Proportional to 722.96, 997.44 and 428.28

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Solution

The fourth proportional to 722.96, 997.44 and 428.28 is: 590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 997.44 = 428.28 : x
  2. Step 2: Convert to fraction form
    722.96/997.44 = 428.28/x
  3. Step 3: Cross multiply
    722.96x = 997.44 × 428.28
  4. Step 4: Simplify right side
    722.96x = 427,183.60
  5. Step 5: Solve for x
    x = 427,183.60/722.96
  6. Step 6: Final answer
    x = 590.88

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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.