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Finding the Fourth Proportional to 468.38, 645.43 and 418.49

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Solution

The fourth proportional to 468.38, 645.43 and 418.49 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 645.43 = 418.49 : x
  2. Step 2: Convert to fraction form
    468.38/645.43 = 418.49/x
  3. Step 3: Cross multiply
    468.38x = 645.43 × 418.49
  4. Step 4: Simplify right side
    468.38x = 270,107.34
  5. Step 5: Solve for x
    x = 270,107.34/468.38
  6. Step 6: Final answer
    x = 576.68

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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.