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Finding the Fourth Proportional to 559.27, 839.40 and 285.54

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Solution

The fourth proportional to 559.27, 839.40 and 285.54 is: 428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.27 : 839.40 = 285.54 : x
  2. Step 2: Convert to fraction form
    559.27/839.40 = 285.54/x
  3. Step 3: Cross multiply
    559.27x = 839.40 × 285.54
  4. Step 4: Simplify right side
    559.27x = 239,682.28
  5. Step 5: Solve for x
    x = 239,682.28/559.27
  6. Step 6: Final answer
    x = 428.56

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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.