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Finding the Fourth Proportional to 511.38, 705.82 and 325.13

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Solution

The fourth proportional to 511.38, 705.82 and 325.13 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 705.82 = 325.13 : x
  2. Step 2: Convert to fraction form
    511.38/705.82 = 325.13/x
  3. Step 3: Cross multiply
    511.38x = 705.82 × 325.13
  4. Step 4: Simplify right side
    511.38x = 229,483.26
  5. Step 5: Solve for x
    x = 229,483.26/511.38
  6. Step 6: Final answer
    x = 448.75

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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.