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Finding the Fourth Proportional to 723.11, 997.92 and 428.37

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Solution

The fourth proportional to 723.11, 997.92 and 428.37 is: 591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.11 : 997.92 = 428.37 : x
  2. Step 2: Convert to fraction form
    723.11/997.92 = 428.37/x
  3. Step 3: Cross multiply
    723.11x = 997.92 × 428.37
  4. Step 4: Simplify right side
    723.11x = 427,478.99
  5. Step 5: Solve for x
    x = 427,478.99/723.11
  6. Step 6: Final answer
    x = 591.17

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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.