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Finding the Fourth Proportional to 465.05, 640.31 and 394.96

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Solution

The fourth proportional to 465.05, 640.31 and 394.96 is: 543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.05 : 640.31 = 394.96 : x
  2. Step 2: Convert to fraction form
    465.05/640.31 = 394.96/x
  3. Step 3: Cross multiply
    465.05x = 640.31 × 394.96
  4. Step 4: Simplify right side
    465.05x = 252,893.26
  5. Step 5: Solve for x
    x = 252,893.26/465.05
  6. Step 6: Final answer
    x = 543.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.