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Finding the Fourth Proportional to 628.69, 943.89 and 320.75

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Solution

The fourth proportional to 628.69, 943.89 and 320.75 is: 481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.69 : 943.89 = 320.75 : x
  2. Step 2: Convert to fraction form
    628.69/943.89 = 320.75/x
  3. Step 3: Cross multiply
    628.69x = 943.89 × 320.75
  4. Step 4: Simplify right side
    628.69x = 302,752.72
  5. Step 5: Solve for x
    x = 302,752.72/628.69
  6. Step 6: Final answer
    x = 481.56

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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.