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Finding the Fourth Proportional to 634.84, 869.71 and 611.15

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Solution

The fourth proportional to 634.84, 869.71 and 611.15 is: 837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.84 : 869.71 = 611.15 : x
  2. Step 2: Convert to fraction form
    634.84/869.71 = 611.15/x
  3. Step 3: Cross multiply
    634.84x = 869.71 × 611.15
  4. Step 4: Simplify right side
    634.84x = 531,523.27
  5. Step 5: Solve for x
    x = 531,523.27/634.84
  6. Step 6: Final answer
    x = 837.26

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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.