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Finding the Fourth Proportional to 766.68, 1,055.86 and 764.28

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Solution

The fourth proportional to 766.68, 1,055.86 and 764.28 is: 1,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.68 : 1,055.86 = 764.28 : x
  2. Step 2: Convert to fraction form
    766.68/1,055.86 = 764.28/x
  3. Step 3: Cross multiply
    766.68x = 1,055.86 × 764.28
  4. Step 4: Simplify right side
    766.68x = 806,972.68
  5. Step 5: Solve for x
    x = 806,972.68/766.68
  6. Step 6: Final answer
    x = 1,052.55

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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.