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Finding the Fourth Proportional to 512.01, 706.38 and 345.96

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Solution

The fourth proportional to 512.01, 706.38 and 345.96 is: 477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.01 : 706.38 = 345.96 : x
  2. Step 2: Convert to fraction form
    512.01/706.38 = 345.96/x
  3. Step 3: Cross multiply
    512.01x = 706.38 × 345.96
  4. Step 4: Simplify right side
    512.01x = 244,379.22
  5. Step 5: Solve for x
    x = 244,379.22/512.01
  6. Step 6: Final answer
    x = 477.29

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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.