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Finding the Fourth Proportional to 933.68, 1,287.94 and 823.42

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Solution

The fourth proportional to 933.68, 1,287.94 and 823.42 is: 1,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.68 : 1,287.94 = 823.42 : x
  2. Step 2: Convert to fraction form
    933.68/1,287.94 = 823.42/x
  3. Step 3: Cross multiply
    933.68x = 1,287.94 × 823.42
  4. Step 4: Simplify right side
    933.68x = 1,060,515.55
  5. Step 5: Solve for x
    x = 1,060,515.55/933.68
  6. Step 6: Final answer
    x = 1,135.84

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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.