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Finding the Fourth Proportional to 1,251.80, 1,726.78 and 785.24

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Solution

The fourth proportional to 1,251.80, 1,726.78 and 785.24 is: 1,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.80 : 1,726.78 = 785.24 : x
  2. Step 2: Convert to fraction form
    1,251.80/1,726.78 = 785.24/x
  3. Step 3: Cross multiply
    1,251.80x = 1,726.78 × 785.24
  4. Step 4: Simplify right side
    1,251.80x = 1,355,936.73
  5. Step 5: Solve for x
    x = 1,355,936.73/1,251.80
  6. Step 6: Final answer
    x = 1,083.19

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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.