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Finding the Fourth Proportional to 723.18, 997.99 and 391.60

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Solution

The fourth proportional to 723.18, 997.99 and 391.60 is: 540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 997.99 = 391.60 : x
  2. Step 2: Convert to fraction form
    723.18/997.99 = 391.60/x
  3. Step 3: Cross multiply
    723.18x = 997.99 × 391.60
  4. Step 4: Simplify right side
    723.18x = 390,814.40
  5. Step 5: Solve for x
    x = 390,814.40/723.18
  6. Step 6: Final answer
    x = 540.41

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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.