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Finding the Fourth Proportional to 394.78, 589.24 and 348.65

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Solution

The fourth proportional to 394.78, 589.24 and 348.65 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.78 : 589.24 = 348.65 : x
  2. Step 2: Convert to fraction form
    394.78/589.24 = 348.65/x
  3. Step 3: Cross multiply
    394.78x = 589.24 × 348.65
  4. Step 4: Simplify right side
    394.78x = 205,438.53
  5. Step 5: Solve for x
    x = 205,438.53/394.78
  6. Step 6: Final answer
    x = 520.39

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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.