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Finding the Fourth Proportional to 723.39, 997.60 and 487.08

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Solution

The fourth proportional to 723.39, 997.60 and 487.08 is: 671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.39 : 997.60 = 487.08 : x
  2. Step 2: Convert to fraction form
    723.39/997.60 = 487.08/x
  3. Step 3: Cross multiply
    723.39x = 997.60 × 487.08
  4. Step 4: Simplify right side
    723.39x = 485,911.01
  5. Step 5: Solve for x
    x = 485,911.01/723.39
  6. Step 6: Final answer
    x = 671.71

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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.