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Finding the Fourth Proportional to 492.33, 678.02 and 490.85

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Solution

The fourth proportional to 492.33, 678.02 and 490.85 is: 675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.33 : 678.02 = 490.85 : x
  2. Step 2: Convert to fraction form
    492.33/678.02 = 490.85/x
  3. Step 3: Cross multiply
    492.33x = 678.02 × 490.85
  4. Step 4: Simplify right side
    492.33x = 332,800.27
  5. Step 5: Solve for x
    x = 332,800.27/492.33
  6. Step 6: Final answer
    x = 675.97

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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.