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Finding the Fourth Proportional to 634.13, 951.08 and 450.98

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Solution

The fourth proportional to 634.13, 951.08 and 450.98 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 951.08 = 450.98 : x
  2. Step 2: Convert to fraction form
    634.13/951.08 = 450.98/x
  3. Step 3: Cross multiply
    634.13x = 951.08 × 450.98
  4. Step 4: Simplify right side
    634.13x = 428,911.05
  5. Step 5: Solve for x
    x = 428,911.05/634.13
  6. Step 6: Final answer
    x = 676.38

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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.