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Finding the Fourth Proportional to 512.96, 707.31 and 408.20

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Solution

The fourth proportional to 512.96, 707.31 and 408.20 is: 562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 707.31 = 408.20 : x
  2. Step 2: Convert to fraction form
    512.96/707.31 = 408.20/x
  3. Step 3: Cross multiply
    512.96x = 707.31 × 408.20
  4. Step 4: Simplify right side
    512.96x = 288,720.41
  5. Step 5: Solve for x
    x = 288,720.41/512.96
  6. Step 6: Final answer
    x = 562.86

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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.