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Finding the Fourth Proportional to 627.19, 942.92 and 512.47

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Solution

The fourth proportional to 627.19, 942.92 and 512.47 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.19 : 942.92 = 512.47 : x
  2. Step 2: Convert to fraction form
    627.19/942.92 = 512.47/x
  3. Step 3: Cross multiply
    627.19x = 942.92 × 512.47
  4. Step 4: Simplify right side
    627.19x = 483,213.45
  5. Step 5: Solve for x
    x = 483,213.45/627.19
  6. Step 6: Final answer
    x = 770.44

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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.