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Finding the Fourth Proportional to 559.23, 838.29 and 280.73

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Solution

The fourth proportional to 559.23, 838.29 and 280.73 is: 420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 838.29 = 280.73 : x
  2. Step 2: Convert to fraction form
    559.23/838.29 = 280.73/x
  3. Step 3: Cross multiply
    559.23x = 838.29 × 280.73
  4. Step 4: Simplify right side
    559.23x = 235,333.93
  5. Step 5: Solve for x
    x = 235,333.93/559.23
  6. Step 6: Final answer
    x = 420.82

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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.