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Finding the Fourth Proportional to 493.87, 680.83 and 423.61

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Solution

The fourth proportional to 493.87, 680.83 and 423.61 is: 583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.87 : 680.83 = 423.61 : x
  2. Step 2: Convert to fraction form
    493.87/680.83 = 423.61/x
  3. Step 3: Cross multiply
    493.87x = 680.83 × 423.61
  4. Step 4: Simplify right side
    493.87x = 288,406.40
  5. Step 5: Solve for x
    x = 288,406.40/493.87
  6. Step 6: Final answer
    x = 583.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.