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Finding the Fourth Proportional to 634.22, 947.04 and 518.89

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Solution

The fourth proportional to 634.22, 947.04 and 518.89 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 947.04 = 518.89 : x
  2. Step 2: Convert to fraction form
    634.22/947.04 = 518.89/x
  3. Step 3: Cross multiply
    634.22x = 947.04 × 518.89
  4. Step 4: Simplify right side
    634.22x = 491,402.90
  5. Step 5: Solve for x
    x = 491,402.90/634.22
  6. Step 6: Final answer
    x = 774.82

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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.