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Finding the Fourth Proportional to 512.06, 706.82 and 325.53

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Solution

The fourth proportional to 512.06, 706.82 and 325.53 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 706.82 = 325.53 : x
  2. Step 2: Convert to fraction form
    512.06/706.82 = 325.53/x
  3. Step 3: Cross multiply
    512.06x = 706.82 × 325.53
  4. Step 4: Simplify right side
    512.06x = 230,089.49
  5. Step 5: Solve for x
    x = 230,089.49/512.06
  6. Step 6: Final answer
    x = 449.35

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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.