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Finding the Fourth Proportional to 511.69, 706.04 and 325.21

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Solution

The fourth proportional to 511.69, 706.04 and 325.21 is: 448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 706.04 = 325.21 : x
  2. Step 2: Convert to fraction form
    511.69/706.04 = 325.21/x
  3. Step 3: Cross multiply
    511.69x = 706.04 × 325.21
  4. Step 4: Simplify right side
    511.69x = 229,609.64
  5. Step 5: Solve for x
    x = 229,609.64/511.69
  6. Step 6: Final answer
    x = 448.73

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Double scale
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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.