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Finding the Fourth Proportional to 492.92, 739.49 and 412.33

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Solution

The fourth proportional to 492.92, 739.49 and 412.33 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 739.49 = 412.33 : x
  2. Step 2: Convert to fraction form
    492.92/739.49 = 412.33/x
  3. Step 3: Cross multiply
    492.92x = 739.49 × 412.33
  4. Step 4: Simplify right side
    492.92x = 304,910.00
  5. Step 5: Solve for x
    x = 304,910.00/492.92
  6. Step 6: Final answer
    x = 618.58

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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.