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Finding the Fourth Proportional to 492.94, 744.11 and 490.21

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Solution

The fourth proportional to 492.94, 744.11 and 490.21 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.94 : 744.11 = 490.21 : x
  2. Step 2: Convert to fraction form
    492.94/744.11 = 490.21/x
  3. Step 3: Cross multiply
    492.94x = 744.11 × 490.21
  4. Step 4: Simplify right side
    492.94x = 364,766.44
  5. Step 5: Solve for x
    x = 364,766.44/492.94
  6. Step 6: Final answer
    x = 739.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.