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Finding the Fourth Proportional to 634.18, 950.91 and 377.86

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Solution

The fourth proportional to 634.18, 950.91 and 377.86 is: 566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.18 : 950.91 = 377.86 : x
  2. Step 2: Convert to fraction form
    634.18/950.91 = 377.86/x
  3. Step 3: Cross multiply
    634.18x = 950.91 × 377.86
  4. Step 4: Simplify right side
    634.18x = 359,310.85
  5. Step 5: Solve for x
    x = 359,310.85/634.18
  6. Step 6: Final answer
    x = 566.58

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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.