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Finding the Fourth Proportional to 513.10, 707.81 and 326.27

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Solution

The fourth proportional to 513.10, 707.81 and 326.27 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.10 : 707.81 = 326.27 : x
  2. Step 2: Convert to fraction form
    513.10/707.81 = 326.27/x
  3. Step 3: Cross multiply
    513.10x = 707.81 × 326.27
  4. Step 4: Simplify right side
    513.10x = 230,932.00
  5. Step 5: Solve for x
    x = 230,932.00/513.10
  6. Step 6: Final answer
    x = 450.08

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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.