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Finding the Fourth Proportional to 933.16, 1,399.92 and 283.99

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Solution

The fourth proportional to 933.16, 1,399.92 and 283.99 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.16 : 1,399.92 = 283.99 : x
  2. Step 2: Convert to fraction form
    933.16/1,399.92 = 283.99/x
  3. Step 3: Cross multiply
    933.16x = 1,399.92 × 283.99
  4. Step 4: Simplify right side
    933.16x = 397,563.28
  5. Step 5: Solve for x
    x = 397,563.28/933.16
  6. Step 6: Final answer
    x = 426.04

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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.