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Finding the Fourth Proportional to 1,367.97, 1,887.80 and 778.51

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Solution

The fourth proportional to 1,367.97, 1,887.80 and 778.51 is: 1,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.97 : 1,887.80 = 778.51 : x
  2. Step 2: Convert to fraction form
    1,367.97/1,887.80 = 778.51/x
  3. Step 3: Cross multiply
    1,367.97x = 1,887.80 × 778.51
  4. Step 4: Simplify right side
    1,367.97x = 1,469,675.48
  5. Step 5: Solve for x
    x = 1,469,675.48/1,367.97
  6. Step 6: Final answer
    x = 1,074.34

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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.