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Finding the Fourth Proportional to 642.09, 892.23 and 635.40

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Solution

The fourth proportional to 642.09, 892.23 and 635.40 is: 882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.09 : 892.23 = 635.40 : x
  2. Step 2: Convert to fraction form
    642.09/892.23 = 635.40/x
  3. Step 3: Cross multiply
    642.09x = 892.23 × 635.40
  4. Step 4: Simplify right side
    642.09x = 566,922.94
  5. Step 5: Solve for x
    x = 566,922.94/642.09
  6. Step 6: Final answer
    x = 882.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.