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Finding the Fourth Proportional to 513.51, 708.44 and 326.67

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Solution

The fourth proportional to 513.51, 708.44 and 326.67 is: 450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.51 : 708.44 = 326.67 : x
  2. Step 2: Convert to fraction form
    513.51/708.44 = 326.67/x
  3. Step 3: Cross multiply
    513.51x = 708.44 × 326.67
  4. Step 4: Simplify right side
    513.51x = 231,424.46
  5. Step 5: Solve for x
    x = 231,424.46/513.51
  6. Step 6: Final answer
    x = 450.67

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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.