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Finding the Fourth Proportional to 634.09, 946.85 and 518.76

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Solution

The fourth proportional to 634.09, 946.85 and 518.76 is: 774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.09 : 946.85 = 518.76 : x
  2. Step 2: Convert to fraction form
    634.09/946.85 = 518.76/x
  3. Step 3: Cross multiply
    634.09x = 946.85 × 518.76
  4. Step 4: Simplify right side
    634.09x = 491,187.91
  5. Step 5: Solve for x
    x = 491,187.91/634.09
  6. Step 6: Final answer
    x = 774.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.