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Finding the Fourth Proportional to 512.20, 705.94 and 401.43

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Solution

The fourth proportional to 512.20, 705.94 and 401.43 is: 553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 705.94 = 401.43 : x
  2. Step 2: Convert to fraction form
    512.20/705.94 = 401.43/x
  3. Step 3: Cross multiply
    512.20x = 705.94 × 401.43
  4. Step 4: Simplify right side
    512.20x = 283,385.49
  5. Step 5: Solve for x
    x = 283,385.49/512.20
  6. Step 6: Final answer
    x = 553.27

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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.