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Finding the Fourth Proportional to 634.43, 952.96 and 391.07

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Solution

The fourth proportional to 634.43, 952.96 and 391.07 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.43 : 952.96 = 391.07 : x
  2. Step 2: Convert to fraction form
    634.43/952.96 = 391.07/x
  3. Step 3: Cross multiply
    634.43x = 952.96 × 391.07
  4. Step 4: Simplify right side
    634.43x = 372,674.07
  5. Step 5: Solve for x
    x = 372,674.07/634.43
  6. Step 6: Final answer
    x = 587.42

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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.