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Finding the Fourth Proportional to 724.38, 1,086.46 and 285.33

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Solution

The fourth proportional to 724.38, 1,086.46 and 285.33 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 1,086.46 = 285.33 : x
  2. Step 2: Convert to fraction form
    724.38/1,086.46 = 285.33/x
  3. Step 3: Cross multiply
    724.38x = 1,086.46 × 285.33
  4. Step 4: Simplify right side
    724.38x = 309,999.63
  5. Step 5: Solve for x
    x = 309,999.63/724.38
  6. Step 6: Final answer
    x = 427.95

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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.