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Finding the Fourth Proportional to 722.98, 997.67 and 428.27

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Solution

The fourth proportional to 722.98, 997.67 and 428.27 is: 590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.98 : 997.67 = 428.27 : x
  2. Step 2: Convert to fraction form
    722.98/997.67 = 428.27/x
  3. Step 3: Cross multiply
    722.98x = 997.67 × 428.27
  4. Step 4: Simplify right side
    722.98x = 427,269.99
  5. Step 5: Solve for x
    x = 427,269.99/722.98
  6. Step 6: Final answer
    x = 590.98

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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.