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Finding the Fourth Proportional to 490.60, 739.15 and 451.24

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Solution

The fourth proportional to 490.60, 739.15 and 451.24 is: 679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 739.15 = 451.24 : x
  2. Step 2: Convert to fraction form
    490.60/739.15 = 451.24/x
  3. Step 3: Cross multiply
    490.60x = 739.15 × 451.24
  4. Step 4: Simplify right side
    490.60x = 333,534.05
  5. Step 5: Solve for x
    x = 333,534.05/490.60
  6. Step 6: Final answer
    x = 679.85

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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.