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Finding the Fourth Proportional to 628.56, 943.41 and 320.63

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Solution

The fourth proportional to 628.56, 943.41 and 320.63 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 943.41 = 320.63 : x
  2. Step 2: Convert to fraction form
    628.56/943.41 = 320.63/x
  3. Step 3: Cross multiply
    628.56x = 943.41 × 320.63
  4. Step 4: Simplify right side
    628.56x = 302,480.83
  5. Step 5: Solve for x
    x = 302,480.83/628.56
  6. Step 6: Final answer
    x = 481.23

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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.