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Finding the Fourth Proportional to 512.31, 770.22 and 448.59

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Solution

The fourth proportional to 512.31, 770.22 and 448.59 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 770.22 = 448.59 : x
  2. Step 2: Convert to fraction form
    512.31/770.22 = 448.59/x
  3. Step 3: Cross multiply
    512.31x = 770.22 × 448.59
  4. Step 4: Simplify right side
    512.31x = 345,512.99
  5. Step 5: Solve for x
    x = 345,512.99/512.31
  6. Step 6: Final answer
    x = 674.42

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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.