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Finding the Fourth Proportional to 933.59, 1,400.39 and 284.33

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Solution

The fourth proportional to 933.59, 1,400.39 and 284.33 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.59 : 1,400.39 = 284.33 : x
  2. Step 2: Convert to fraction form
    933.59/1,400.39 = 284.33/x
  3. Step 3: Cross multiply
    933.59x = 1,400.39 × 284.33
  4. Step 4: Simplify right side
    933.59x = 398,171.47
  5. Step 5: Solve for x
    x = 398,171.47/933.59
  6. Step 6: Final answer
    x = 426.50

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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.