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Finding the Fourth Proportional to 625.35, 936.97 and 442.38

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Solution

The fourth proportional to 625.35, 936.97 and 442.38 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.35 : 936.97 = 442.38 : x
  2. Step 2: Convert to fraction form
    625.35/936.97 = 442.38/x
  3. Step 3: Cross multiply
    625.35x = 936.97 × 442.38
  4. Step 4: Simplify right side
    625.35x = 414,496.79
  5. Step 5: Solve for x
    x = 414,496.79/625.35
  6. Step 6: Final answer
    x = 662.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.