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Finding the Fourth Proportional to 431.31, 645.75 and 343.83

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Solution

The fourth proportional to 431.31, 645.75 and 343.83 is: 514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.31 : 645.75 = 343.83 : x
  2. Step 2: Convert to fraction form
    431.31/645.75 = 343.83/x
  3. Step 3: Cross multiply
    431.31x = 645.75 × 343.83
  4. Step 4: Simplify right side
    431.31x = 222,028.22
  5. Step 5: Solve for x
    x = 222,028.22/431.31
  6. Step 6: Final answer
    x = 514.78

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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.