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Finding the Fourth Proportional to 512.22, 706.80 and 325.38

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Solution

The fourth proportional to 512.22, 706.80 and 325.38 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 706.80 = 325.38 : x
  2. Step 2: Convert to fraction form
    512.22/706.80 = 325.38/x
  3. Step 3: Cross multiply
    512.22x = 706.80 × 325.38
  4. Step 4: Simplify right side
    512.22x = 229,978.58
  5. Step 5: Solve for x
    x = 229,978.58/512.22
  6. Step 6: Final answer
    x = 448.98

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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.