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Finding the Fourth Proportional to 1,268.64, 1,749.93 and 770.79

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Solution

The fourth proportional to 1,268.64, 1,749.93 and 770.79 is: 1,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.64 : 1,749.93 = 770.79 : x
  2. Step 2: Convert to fraction form
    1,268.64/1,749.93 = 770.79/x
  3. Step 3: Cross multiply
    1,268.64x = 1,749.93 × 770.79
  4. Step 4: Simplify right side
    1,268.64x = 1,348,828.54
  5. Step 5: Solve for x
    x = 1,348,828.54/1,268.64
  6. Step 6: Final answer
    x = 1,063.21

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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.