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Finding the Fourth Proportional to 628.20, 943.09 and 512.87

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Solution

The fourth proportional to 628.20, 943.09 and 512.87 is: 769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.20 : 943.09 = 512.87 : x
  2. Step 2: Convert to fraction form
    628.20/943.09 = 512.87/x
  3. Step 3: Cross multiply
    628.20x = 943.09 × 512.87
  4. Step 4: Simplify right side
    628.20x = 483,676.57
  5. Step 5: Solve for x
    x = 483,676.57/628.20
  6. Step 6: Final answer
    x = 769.94

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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.