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Finding the Fourth Proportional to 492.67, 739.01 and 411.27

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Solution

The fourth proportional to 492.67, 739.01 and 411.27 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 739.01 = 411.27 : x
  2. Step 2: Convert to fraction form
    492.67/739.01 = 411.27/x
  3. Step 3: Cross multiply
    492.67x = 739.01 × 411.27
  4. Step 4: Simplify right side
    492.67x = 303,932.64
  5. Step 5: Solve for x
    x = 303,932.64/492.67
  6. Step 6: Final answer
    x = 616.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.