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Finding the Fourth Proportional to 634.91, 869.85 and 610.31

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Solution

The fourth proportional to 634.91, 869.85 and 610.31 is: 836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.91 : 869.85 = 610.31 : x
  2. Step 2: Convert to fraction form
    634.91/869.85 = 610.31/x
  3. Step 3: Cross multiply
    634.91x = 869.85 × 610.31
  4. Step 4: Simplify right side
    634.91x = 530,874.88
  5. Step 5: Solve for x
    x = 530,874.88/634.91
  6. Step 6: Final answer
    x = 836.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.