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Finding the Fourth Proportional to 490.53, 739.38 and 462.30

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Solution

The fourth proportional to 490.53, 739.38 and 462.30 is: 696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.53 : 739.38 = 462.30 : x
  2. Step 2: Convert to fraction form
    490.53/739.38 = 462.30/x
  3. Step 3: Cross multiply
    490.53x = 739.38 × 462.30
  4. Step 4: Simplify right side
    490.53x = 341,815.37
  5. Step 5: Solve for x
    x = 341,815.37/490.53
  6. Step 6: Final answer
    x = 696.83

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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.