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Finding the Fourth Proportional to 634.94, 953.91 and 415.74

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Solution

The fourth proportional to 634.94, 953.91 and 415.74 is: 624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.94 : 953.91 = 415.74 : x
  2. Step 2: Convert to fraction form
    634.94/953.91 = 415.74/x
  3. Step 3: Cross multiply
    634.94x = 953.91 × 415.74
  4. Step 4: Simplify right side
    634.94x = 396,578.54
  5. Step 5: Solve for x
    x = 396,578.54/634.94
  6. Step 6: Final answer
    x = 624.60

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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.