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Finding the Fourth Proportional to 512.16, 706.71 and 325.32

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Solution

The fourth proportional to 512.16, 706.71 and 325.32 is: 448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 706.71 = 325.32 : x
  2. Step 2: Convert to fraction form
    512.16/706.71 = 325.32/x
  3. Step 3: Cross multiply
    512.16x = 706.71 × 325.32
  4. Step 4: Simplify right side
    512.16x = 229,906.90
  5. Step 5: Solve for x
    x = 229,906.90/512.16
  6. Step 6: Final answer
    x = 448.90

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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.