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Finding the Fourth Proportional to 722.96, 997.82 and 428.20

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Solution

The fourth proportional to 722.96, 997.82 and 428.20 is: 591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 997.82 = 428.20 : x
  2. Step 2: Convert to fraction form
    722.96/997.82 = 428.20/x
  3. Step 3: Cross multiply
    722.96x = 997.82 × 428.20
  4. Step 4: Simplify right side
    722.96x = 427,266.52
  5. Step 5: Solve for x
    x = 427,266.52/722.96
  6. Step 6: Final answer
    x = 591.00

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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.