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Finding the Fourth Proportional to 933, 1,286.73 and 768.30

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Solution

The fourth proportional to 933, 1,286.73 and 768.30 is: 1,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    933 : 1,286.73 = 768.30 : x
  2. Step 2: Convert to fraction form
    933/1,286.73 = 768.30/x
  3. Step 3: Cross multiply
    933x = 1,286.73 × 768.30
  4. Step 4: Simplify right side
    933x = 988,594.66
  5. Step 5: Solve for x
    x = 988,594.66/933
  6. Step 6: Final answer
    x = 1,059.59

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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.