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Finding the Fourth Proportional to 634.54, 950.41 and 390.33

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Solution

The fourth proportional to 634.54, 950.41 and 390.33 is: 584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.54 : 950.41 = 390.33 : x
  2. Step 2: Convert to fraction form
    634.54/950.41 = 390.33/x
  3. Step 3: Cross multiply
    634.54x = 950.41 × 390.33
  4. Step 4: Simplify right side
    634.54x = 370,973.54
  5. Step 5: Solve for x
    x = 370,973.54/634.54
  6. Step 6: Final answer
    x = 584.63

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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.