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Finding the Fourth Proportional to 512.22, 705.78 and 456.84

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Solution

The fourth proportional to 512.22, 705.78 and 456.84 is: 629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 705.78 = 456.84 : x
  2. Step 2: Convert to fraction form
    512.22/705.78 = 456.84/x
  3. Step 3: Cross multiply
    512.22x = 705.78 × 456.84
  4. Step 4: Simplify right side
    512.22x = 322,428.54
  5. Step 5: Solve for x
    x = 322,428.54/512.22
  6. Step 6: Final answer
    x = 629.47

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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.