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Finding the Fourth Proportional to 628.44, 941.40 and 513

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Solution

The fourth proportional to 628.44, 941.40 and 513 is: 768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.44 : 941.40 = 513 : x
  2. Step 2: Convert to fraction form
    628.44/941.40 = 513/x
  3. Step 3: Cross multiply
    628.44x = 941.40 × 513
  4. Step 4: Simplify right side
    628.44x = 482,938.20
  5. Step 5: Solve for x
    x = 482,938.20/628.44
  6. Step 6: Final answer
    x = 768.47

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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.