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Finding the Fourth Proportional to 1,367.91, 1,887.70 and 778.43

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Solution

The fourth proportional to 1,367.91, 1,887.70 and 778.43 is: 1,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.91 : 1,887.70 = 778.43 : x
  2. Step 2: Convert to fraction form
    1,367.91/1,887.70 = 778.43/x
  3. Step 3: Cross multiply
    1,367.91x = 1,887.70 × 778.43
  4. Step 4: Simplify right side
    1,367.91x = 1,469,442.31
  5. Step 5: Solve for x
    x = 1,469,442.31/1,367.91
  6. Step 6: Final answer
    x = 1,074.22

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1.5x scale

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.