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Finding the Fourth Proportional to 634.87, 869.76 and 611.18

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Solution

The fourth proportional to 634.87, 869.76 and 611.18 is: 837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.87 : 869.76 = 611.18 : x
  2. Step 2: Convert to fraction form
    634.87/869.76 = 611.18/x
  3. Step 3: Cross multiply
    634.87x = 869.76 × 611.18
  4. Step 4: Simplify right side
    634.87x = 531,579.92
  5. Step 5: Solve for x
    x = 531,579.92/634.87
  6. Step 6: Final answer
    x = 837.31

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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.