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Finding the Fourth Proportional to 512.66, 707.34 and 396.26

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Solution

The fourth proportional to 512.66, 707.34 and 396.26 is: 546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 707.34 = 396.26 : x
  2. Step 2: Convert to fraction form
    512.66/707.34 = 396.26/x
  3. Step 3: Cross multiply
    512.66x = 707.34 × 396.26
  4. Step 4: Simplify right side
    512.66x = 280,290.55
  5. Step 5: Solve for x
    x = 280,290.55/512.66
  6. Step 6: Final answer
    x = 546.74

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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.