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Finding the Fourth Proportional to 629.91, 943.63 and 412.83

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Solution

The fourth proportional to 629.91, 943.63 and 412.83 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.91 : 943.63 = 412.83 : x
  2. Step 2: Convert to fraction form
    629.91/943.63 = 412.83/x
  3. Step 3: Cross multiply
    629.91x = 943.63 × 412.83
  4. Step 4: Simplify right side
    629.91x = 389,558.77
  5. Step 5: Solve for x
    x = 389,558.77/629.91
  6. Step 6: Final answer
    x = 618.44

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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.