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Finding the Fourth Proportional to 517.48, 774.62 and 443.67

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Solution

The fourth proportional to 517.48, 774.62 and 443.67 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 774.62 = 443.67 : x
  2. Step 2: Convert to fraction form
    517.48/774.62 = 443.67/x
  3. Step 3: Cross multiply
    517.48x = 774.62 × 443.67
  4. Step 4: Simplify right side
    517.48x = 343,675.66
  5. Step 5: Solve for x
    x = 343,675.66/517.48
  6. Step 6: Final answer
    x = 664.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.