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Finding the Fourth Proportional to 629.39, 942.86 and 412.31

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Solution

The fourth proportional to 629.39, 942.86 and 412.31 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.39 : 942.86 = 412.31 : x
  2. Step 2: Convert to fraction form
    629.39/942.86 = 412.31/x
  3. Step 3: Cross multiply
    629.39x = 942.86 × 412.31
  4. Step 4: Simplify right side
    629.39x = 388,753.99
  5. Step 5: Solve for x
    x = 388,753.99/629.39
  6. Step 6: Final answer
    x = 617.67

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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.