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Finding the Fourth Proportional to 394.77, 589.11 and 346.78

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Solution

The fourth proportional to 394.77, 589.11 and 346.78 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.77 : 589.11 = 346.78 : x
  2. Step 2: Convert to fraction form
    394.77/589.11 = 346.78/x
  3. Step 3: Cross multiply
    394.77x = 589.11 × 346.78
  4. Step 4: Simplify right side
    394.77x = 204,288.62
  5. Step 5: Solve for x
    x = 204,288.62/394.77
  6. Step 6: Final answer
    x = 517.49

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Double scale
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1.5x scale

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.