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Finding the Fourth Proportional to 642.37, 885.17 and 443.27

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Solution

The fourth proportional to 642.37, 885.17 and 443.27 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.37 : 885.17 = 443.27 : x
  2. Step 2: Convert to fraction form
    642.37/885.17 = 443.27/x
  3. Step 3: Cross multiply
    642.37x = 885.17 × 443.27
  4. Step 4: Simplify right side
    642.37x = 392,369.31
  5. Step 5: Solve for x
    x = 392,369.31/642.37
  6. Step 6: Final answer
    x = 610.82

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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.