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Finding the Fourth Proportional to 638.73, 951.67 and 596.82

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Solution

The fourth proportional to 638.73, 951.67 and 596.82 is: 889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.73 : 951.67 = 596.82 : x
  2. Step 2: Convert to fraction form
    638.73/951.67 = 596.82/x
  3. Step 3: Cross multiply
    638.73x = 951.67 × 596.82
  4. Step 4: Simplify right side
    638.73x = 567,975.69
  5. Step 5: Solve for x
    x = 567,975.69/638.73
  6. Step 6: Final answer
    x = 889.23

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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.