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Finding the Fourth Proportional to 642.11, 885.82 and 376.56

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Solution

The fourth proportional to 642.11, 885.82 and 376.56 is: 519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.11 : 885.82 = 376.56 : x
  2. Step 2: Convert to fraction form
    642.11/885.82 = 376.56/x
  3. Step 3: Cross multiply
    642.11x = 885.82 × 376.56
  4. Step 4: Simplify right side
    642.11x = 333,568.59
  5. Step 5: Solve for x
    x = 333,568.59/642.11
  6. Step 6: Final answer
    x = 519.49

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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.