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Finding the Fourth Proportional to 634.53, 869.28 and 610.84

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Solution

The fourth proportional to 634.53, 869.28 and 610.84 is: 836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.53 : 869.28 = 610.84 : x
  2. Step 2: Convert to fraction form
    634.53/869.28 = 610.84/x
  3. Step 3: Cross multiply
    634.53x = 869.28 × 610.84
  4. Step 4: Simplify right side
    634.53x = 530,986.65
  5. Step 5: Solve for x
    x = 530,986.65/634.53
  6. Step 6: Final answer
    x = 836.83

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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.