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Finding the Fourth Proportional to 429.33, 641.07 and 347.33

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Solution

The fourth proportional to 429.33, 641.07 and 347.33 is: 518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.33 : 641.07 = 347.33 : x
  2. Step 2: Convert to fraction form
    429.33/641.07 = 347.33/x
  3. Step 3: Cross multiply
    429.33x = 641.07 × 347.33
  4. Step 4: Simplify right side
    429.33x = 222,659.64
  5. Step 5: Solve for x
    x = 222,659.64/429.33
  6. Step 6: Final answer
    x = 518.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.