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Finding the Fourth Proportional to 629.09, 943.46 and 263.67

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Solution

The fourth proportional to 629.09, 943.46 and 263.67 is: 395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.09 : 943.46 = 263.67 : x
  2. Step 2: Convert to fraction form
    629.09/943.46 = 263.67/x
  3. Step 3: Cross multiply
    629.09x = 943.46 × 263.67
  4. Step 4: Simplify right side
    629.09x = 248,762.10
  5. Step 5: Solve for x
    x = 248,762.10/629.09
  6. Step 6: Final answer
    x = 395.43

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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.