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Finding the Fourth Proportional to 513.99, 708.07 and 482.67

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Solution

The fourth proportional to 513.99, 708.07 and 482.67 is: 664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 708.07 = 482.67 : x
  2. Step 2: Convert to fraction form
    513.99/708.07 = 482.67/x
  3. Step 3: Cross multiply
    513.99x = 708.07 × 482.67
  4. Step 4: Simplify right side
    513.99x = 341,764.15
  5. Step 5: Solve for x
    x = 341,764.15/513.99
  6. Step 6: Final answer
    x = 664.92

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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.