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Finding the Fourth Proportional to 513.09, 708.07 and 306.09

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Solution

The fourth proportional to 513.09, 708.07 and 306.09 is: 422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.09 : 708.07 = 306.09 : x
  2. Step 2: Convert to fraction form
    513.09/708.07 = 306.09/x
  3. Step 3: Cross multiply
    513.09x = 708.07 × 306.09
  4. Step 4: Simplify right side
    513.09x = 216,733.15
  5. Step 5: Solve for x
    x = 216,733.15/513.09
  6. Step 6: Final answer
    x = 422.41

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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.