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Finding the Fourth Proportional to 933.38, 1,399.97 and 284.12

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Solution

The fourth proportional to 933.38, 1,399.97 and 284.12 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.38 : 1,399.97 = 284.12 : x
  2. Step 2: Convert to fraction form
    933.38/1,399.97 = 284.12/x
  3. Step 3: Cross multiply
    933.38x = 1,399.97 × 284.12
  4. Step 4: Simplify right side
    933.38x = 397,751.06
  5. Step 5: Solve for x
    x = 397,751.06/933.38
  6. Step 6: Final answer
    x = 426.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.