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Finding the Fourth Proportional to 512.43, 706.75 and 346.38

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Solution

The fourth proportional to 512.43, 706.75 and 346.38 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 706.75 = 346.38 : x
  2. Step 2: Convert to fraction form
    512.43/706.75 = 346.38/x
  3. Step 3: Cross multiply
    512.43x = 706.75 × 346.38
  4. Step 4: Simplify right side
    512.43x = 244,804.07
  5. Step 5: Solve for x
    x = 244,804.07/512.43
  6. Step 6: Final answer
    x = 477.73

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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.