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Finding the Fourth Proportional to 490.23, 734.31 and 461.86

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Solution

The fourth proportional to 490.23, 734.31 and 461.86 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 734.31 = 461.86 : x
  2. Step 2: Convert to fraction form
    490.23/734.31 = 461.86/x
  3. Step 3: Cross multiply
    490.23x = 734.31 × 461.86
  4. Step 4: Simplify right side
    490.23x = 339,146.58
  5. Step 5: Solve for x
    x = 339,146.58/490.23
  6. Step 6: Final answer
    x = 691.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.