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Finding the Fourth Proportional to 426.74, 589.20 and 326.99

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Solution

The fourth proportional to 426.74, 589.20 and 326.99 is: 451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.74 : 589.20 = 326.99 : x
  2. Step 2: Convert to fraction form
    426.74/589.20 = 326.99/x
  3. Step 3: Cross multiply
    426.74x = 589.20 × 326.99
  4. Step 4: Simplify right side
    426.74x = 192,659.56
  5. Step 5: Solve for x
    x = 192,659.56/426.74
  6. Step 6: Final answer
    x = 451.47

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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.