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Finding the Fourth Proportional to 933.95, 1,289.18 and 822.78

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Solution

The fourth proportional to 933.95, 1,289.18 and 822.78 is: 1,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.95 : 1,289.18 = 822.78 : x
  2. Step 2: Convert to fraction form
    933.95/1,289.18 = 822.78/x
  3. Step 3: Cross multiply
    933.95x = 1,289.18 × 822.78
  4. Step 4: Simplify right side
    933.95x = 1,060,713.58
  5. Step 5: Solve for x
    x = 1,060,713.58/933.95
  6. Step 6: Final answer
    x = 1,135.73

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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.