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Finding the Fourth Proportional to 512.83, 708.00 and 338.48

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Solution

The fourth proportional to 512.83, 708.00 and 338.48 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.83 : 708.00 = 338.48 : x
  2. Step 2: Convert to fraction form
    512.83/708.00 = 338.48/x
  3. Step 3: Cross multiply
    512.83x = 708.00 × 338.48
  4. Step 4: Simplify right side
    512.83x = 239,641.22
  5. Step 5: Solve for x
    x = 239,641.22/512.83
  6. Step 6: Final answer
    x = 467.29

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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.