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Finding the Fourth Proportional to 1,357.22, 1,872.97 and 767.75

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Solution

The fourth proportional to 1,357.22, 1,872.97 and 767.75 is: 1,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.22 : 1,872.97 = 767.75 : x
  2. Step 2: Convert to fraction form
    1,357.22/1,872.97 = 767.75/x
  3. Step 3: Cross multiply
    1,357.22x = 1,872.97 × 767.75
  4. Step 4: Simplify right side
    1,357.22x = 1,437,961.43
  5. Step 5: Solve for x
    x = 1,437,961.43/1,357.22
  6. Step 6: Final answer
    x = 1,059.49

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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.