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Finding the Fourth Proportional to 637.82, 957.34 and 394.82

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Solution

The fourth proportional to 637.82, 957.34 and 394.82 is: 592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.82 : 957.34 = 394.82 : x
  2. Step 2: Convert to fraction form
    637.82/957.34 = 394.82/x
  3. Step 3: Cross multiply
    637.82x = 957.34 × 394.82
  4. Step 4: Simplify right side
    637.82x = 377,976.98
  5. Step 5: Solve for x
    x = 377,976.98/637.82
  6. Step 6: Final answer
    x = 592.61

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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.