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Finding the Fourth Proportional to 933.06, 1,286.82 and 808.68

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Solution

The fourth proportional to 933.06, 1,286.82 and 808.68 is: 1,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.06 : 1,286.82 = 808.68 : x
  2. Step 2: Convert to fraction form
    933.06/1,286.82 = 808.68/x
  3. Step 3: Cross multiply
    933.06x = 1,286.82 × 808.68
  4. Step 4: Simplify right side
    933.06x = 1,040,625.60
  5. Step 5: Solve for x
    x = 1,040,625.60/933.06
  6. Step 6: Final answer
    x = 1,115.28

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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.