put the width of image as width of colum flutter code example

Example 1: add fit to column flutter

Column(
      crossAxisAlignment: CrossAxisAlignment.start,
      children: <Widget>[
        Image.network("Your image url",
          width: double.infinity, 
          fit: BoxFit.fitWidth,
        ),
        Text("Fitted image"),
      ],
    )

Example 2: flutter column min height screen sixe

import 'dart:math'; // for max function

// Add the following around your column
LayoutBuilder(
  builder: (BuildContext context, BoxConstraints constraints) {
    return SingleChildScrollView(
      child: ConstrainedBox(
        constraints: BoxConstraints.tightFor(height: max(500, constraints.maxHeight)),
        child: Column(), // your column
      ),
    );
  },
);