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Finding the Fourth Proportional to 724.60, 997.68 and 600.06

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Solution

The fourth proportional to 724.60, 997.68 and 600.06 is: 826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.60 : 997.68 = 600.06 : x
  2. Step 2: Convert to fraction form
    724.60/997.68 = 600.06/x
  3. Step 3: Cross multiply
    724.60x = 997.68 × 600.06
  4. Step 4: Simplify right side
    724.60x = 598,667.86
  5. Step 5: Solve for x
    x = 598,667.86/724.60
  6. Step 6: Final answer
    x = 826.20

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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.