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Finding the Fourth Proportional to 513.18, 707.94 and 326.46

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Solution

The fourth proportional to 513.18, 707.94 and 326.46 is: 450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 707.94 = 326.46 : x
  2. Step 2: Convert to fraction form
    513.18/707.94 = 326.46/x
  3. Step 3: Cross multiply
    513.18x = 707.94 × 326.46
  4. Step 4: Simplify right side
    513.18x = 231,114.09
  5. Step 5: Solve for x
    x = 231,114.09/513.18
  6. Step 6: Final answer
    x = 450.36

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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.