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Finding the Fourth Proportional to 724.70, 998.91 and 462.26

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Solution

The fourth proportional to 724.70, 998.91 and 462.26 is: 637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.70 : 998.91 = 462.26 : x
  2. Step 2: Convert to fraction form
    724.70/998.91 = 462.26/x
  3. Step 3: Cross multiply
    724.70x = 998.91 × 462.26
  4. Step 4: Simplify right side
    724.70x = 461,756.14
  5. Step 5: Solve for x
    x = 461,756.14/724.70
  6. Step 6: Final answer
    x = 637.17

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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.