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Finding the Fourth Proportional to 394.63, 589.05 and 353.61

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Solution

The fourth proportional to 394.63, 589.05 and 353.61 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.63 : 589.05 = 353.61 : x
  2. Step 2: Convert to fraction form
    394.63/589.05 = 353.61/x
  3. Step 3: Cross multiply
    394.63x = 589.05 × 353.61
  4. Step 4: Simplify right side
    394.63x = 208,293.97
  5. Step 5: Solve for x
    x = 208,293.97/394.63
  6. Step 6: Final answer
    x = 527.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.