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Finding the Fourth Proportional to 1,227.11, 1,694.54 and 785.80

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Solution

The fourth proportional to 1,227.11, 1,694.54 and 785.80 is: 1,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.11 : 1,694.54 = 785.80 : x
  2. Step 2: Convert to fraction form
    1,227.11/1,694.54 = 785.80/x
  3. Step 3: Cross multiply
    1,227.11x = 1,694.54 × 785.80
  4. Step 4: Simplify right side
    1,227.11x = 1,331,559.66
  5. Step 5: Solve for x
    x = 1,331,559.66/1,227.11
  6. Step 6: Final answer
    x = 1,085.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.