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Finding the Fourth Proportional to 933.80, 1,400.71 and 284.54

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Solution

The fourth proportional to 933.80, 1,400.71 and 284.54 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.80 : 1,400.71 = 284.54 : x
  2. Step 2: Convert to fraction form
    933.80/1,400.71 = 284.54/x
  3. Step 3: Cross multiply
    933.80x = 1,400.71 × 284.54
  4. Step 4: Simplify right side
    933.80x = 398,550.31
  5. Step 5: Solve for x
    x = 398,550.31/933.80
  6. Step 6: Final answer
    x = 426.81

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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.