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Finding the Fourth Proportional to 490.60, 696.22 and 490.60

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Solution

The fourth proportional to 490.60, 696.22 and 490.60 is: 696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 696.22 = 490.60 : x
  2. Step 2: Convert to fraction form
    490.60/696.22 = 490.60/x
  3. Step 3: Cross multiply
    490.60x = 696.22 × 490.60
  4. Step 4: Simplify right side
    490.60x = 341,565.53
  5. Step 5: Solve for x
    x = 341,565.53/490.60
  6. Step 6: Final answer
    x = 696.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.