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Finding the Fourth Proportional to 721.66, 996.30 and 485.92

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Solution

The fourth proportional to 721.66, 996.30 and 485.92 is: 670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.66 : 996.30 = 485.92 : x
  2. Step 2: Convert to fraction form
    721.66/996.30 = 485.92/x
  3. Step 3: Cross multiply
    721.66x = 996.30 × 485.92
  4. Step 4: Simplify right side
    721.66x = 484,122.10
  5. Step 5: Solve for x
    x = 484,122.10/721.66
  6. Step 6: Final answer
    x = 670.85

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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.