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Finding the Fourth Proportional to 411.42, 613.18 and 394.11

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Solution

The fourth proportional to 411.42, 613.18 and 394.11 is: 587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 613.18 = 394.11 : x
  2. Step 2: Convert to fraction form
    411.42/613.18 = 394.11/x
  3. Step 3: Cross multiply
    411.42x = 613.18 × 394.11
  4. Step 4: Simplify right side
    411.42x = 241,659.38
  5. Step 5: Solve for x
    x = 241,659.38/411.42
  6. Step 6: Final answer
    x = 587.38

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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.