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Finding the Fourth Proportional to 723.30, 997.78 and 486.85

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Solution

The fourth proportional to 723.30, 997.78 and 486.85 is: 671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 997.78 = 486.85 : x
  2. Step 2: Convert to fraction form
    723.30/997.78 = 486.85/x
  3. Step 3: Cross multiply
    723.30x = 997.78 × 486.85
  4. Step 4: Simplify right side
    723.30x = 485,766.81
  5. Step 5: Solve for x
    x = 485,766.81/723.30
  6. Step 6: Final answer
    x = 671.59

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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.