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Finding the Fourth Proportional to 1,367.96, 1,887.75 and 778.48

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Solution

The fourth proportional to 1,367.96, 1,887.75 and 778.48 is: 1,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.96 : 1,887.75 = 778.48 : x
  2. Step 2: Convert to fraction form
    1,367.96/1,887.75 = 778.48/x
  3. Step 3: Cross multiply
    1,367.96x = 1,887.75 × 778.48
  4. Step 4: Simplify right side
    1,367.96x = 1,469,570.90
  5. Step 5: Solve for x
    x = 1,469,570.90/1,367.96
  6. Step 6: Final answer
    x = 1,074.28

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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.