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Finding the Fourth Proportional to 512.42, 706.90 and 394.18

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Solution

The fourth proportional to 512.42, 706.90 and 394.18 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 706.90 = 394.18 : x
  2. Step 2: Convert to fraction form
    512.42/706.90 = 394.18/x
  3. Step 3: Cross multiply
    512.42x = 706.90 × 394.18
  4. Step 4: Simplify right side
    512.42x = 278,645.84
  5. Step 5: Solve for x
    x = 278,645.84/512.42
  6. Step 6: Final answer
    x = 543.78

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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.