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Finding the Fourth Proportional to 512.94, 708.10 and 326.69

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Solution

The fourth proportional to 512.94, 708.10 and 326.69 is: 450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 708.10 = 326.69 : x
  2. Step 2: Convert to fraction form
    512.94/708.10 = 326.69/x
  3. Step 3: Cross multiply
    512.94x = 708.10 × 326.69
  4. Step 4: Simplify right side
    512.94x = 231,324.02
  5. Step 5: Solve for x
    x = 231,324.02/512.94
  6. Step 6: Final answer
    x = 450.98

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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.