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Finding the Fourth Proportional to 1,268.58, 1,750.66 and 764.38

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Solution

The fourth proportional to 1,268.58, 1,750.66 and 764.38 is: 1,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.58 : 1,750.66 = 764.38 : x
  2. Step 2: Convert to fraction form
    1,268.58/1,750.66 = 764.38/x
  3. Step 3: Cross multiply
    1,268.58x = 1,750.66 × 764.38
  4. Step 4: Simplify right side
    1,268.58x = 1,338,169.49
  5. Step 5: Solve for x
    x = 1,338,169.49/1,268.58
  6. Step 6: Final answer
    x = 1,054.86

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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.