Bootstrap 4.0
Be aware of all migration changes from Bootstrap 3 to 4. On the table you now need to enable flex box by adding the class d-flex, and drop the xs to allow bootstrap to automatically detect the viewport.
<div class="container-fluid">
<table id="productSizes" class="table">
<thead>
<tr class="d-flex">
<th class="col-1">Size</th>
<th class="col-3">Bust</th>
<th class="col-3">Waist</th>
<th class="col-5">Hips</th>
</tr>
</thead>
<tbody>
<tr class="d-flex">
<td class="col-1">6</td>
<td class="col-3">79 - 81</td>
<td class="col-3">61 - 63</td>
<td class="col-5">89 - 91</td>
</tr>
<tr class="d-flex">
<td class="col-1">8</td>
<td class="col-3">84 - 86</td>
<td class="col-3">66 - 68</td>
<td class="col-5">94 - 96</td>
</tr>
</tbody>
</table>
bootply
Bootstrap 3.2
Table column width use the same layout as grids do; using col-[viewport]-[size]. Remember the column sizes should total 12; 1 + 3 + 3 + 5 = 12 in this example.
<thead>
<tr>
<th class="col-xs-1">Size</th>
<th class="col-xs-3">Bust</th>
<th class="col-xs-3">Waist</th>
<th class="col-xs-5">Hips</th>
</tr>
</thead>
Remember to set the <th> elements rather than the <td> elements so it sets the whole column. Here is a working BOOTPLY.
Thanks to @Dan for reminding me to always work mobile view (col-xs-*) first.