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Finding the Fourth Proportional to 513.26, 708.33 and 388.73

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Solution

The fourth proportional to 513.26, 708.33 and 388.73 is: 536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 708.33 = 388.73 : x
  2. Step 2: Convert to fraction form
    513.26/708.33 = 388.73/x
  3. Step 3: Cross multiply
    513.26x = 708.33 × 388.73
  4. Step 4: Simplify right side
    513.26x = 275,345.58
  5. Step 5: Solve for x
    x = 275,345.58/513.26
  6. Step 6: Final answer
    x = 536.47

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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.