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Finding the Fourth Proportional to 512.20, 706.18 and 418.84

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Solution

The fourth proportional to 512.20, 706.18 and 418.84 is: 577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 706.18 = 418.84 : x
  2. Step 2: Convert to fraction form
    512.20/706.18 = 418.84/x
  3. Step 3: Cross multiply
    512.20x = 706.18 × 418.84
  4. Step 4: Simplify right side
    512.20x = 295,776.43
  5. Step 5: Solve for x
    x = 295,776.43/512.20
  6. Step 6: Final answer
    x = 577.46

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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.