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Finding the Fourth Proportional to 512.43, 707.45 and 338.28

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Solution

The fourth proportional to 512.43, 707.45 and 338.28 is: 467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 707.45 = 338.28 : x
  2. Step 2: Convert to fraction form
    512.43/707.45 = 338.28/x
  3. Step 3: Cross multiply
    512.43x = 707.45 × 338.28
  4. Step 4: Simplify right side
    512.43x = 239,314.49
  5. Step 5: Solve for x
    x = 239,314.49/512.43
  6. Step 6: Final answer
    x = 467.02

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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.